NISHITANI TATSUO 西谷達雄

… Alternative Names

Researcher Number	80127117
Other IDs
Affiliation (Current)	2022: 大阪大学, その他部局等, 名誉教授
Affiliation (based on the past Project Information) *help	2016 – 2020: 大阪大学, その他部局等, 名誉教授 2011 – 2015: 大阪大学, 理学(系)研究科(研究院), 教授 2012: 大阪大学, 理学研究科, 教授 2010: 大阪大学, 理学研究科, 教授 2007 – 2010: Osaka University, 大学院・理学研究科, 教授 … More
Review Section/Research Field	Principal Investigator 解析学 / Basic analysis / Mathematical analysis / Basic analysis / Basic Section 12020:Mathematical analysis-related Except Principal Investigator 解析学 / Geometry / 代数学・幾何学 / Basic analysis / Global analysis / Basic analysis / General mathematics (including Probability theory/Statistical mathematics)
Keywords	Principal Investigator 初期値問題 / 適切性 / 強双曲系 / ハミルトン写像 / 伝播錐 / 局所化系 / 包合的 / 零陪特性帯 / 双曲型作用素 / 非退化特性点 … More Except Principal Investigator 擬微分作用素 / 熱方程式 / シュレディンガー方程式 / 双曲型方程式 / シュレデインガー方程式 / 境界値問題 / 量子化ハミルトニアン / 波動方程式 / ゼータ関数 / 分散型方程式 / 散乱理論 / Smoothing effect / Schrodinger equation / 複素多様体 / シュレディンガ-方程式 / 磁場 / 相対論 / スペクトル解析 / 定数磁場 / 弾性曲線 / 変分問題 / モジュライ空間 / stability / ケーラー多様体 / 安定性 / 確率振動積分 / ウィーナー空間における停留位相の方法 / ファインマン積分 / 摂動展開 / 散乱 / 有理型 / 散乱核 / 古典力学 / 特異性 / 関数方程式 / 散乱問題 / 臨界冪非線形項 / 臨界冪 / 逆問題 / 極 / inverse problems / 発展方程式 / ポテンシャル / 超局所解析 / microlocal analysis / 正則性 / 初期値問題 / smoothing effect / 平滑化効果 / シュレヂンガー方程式 / collapse / 解の漸近的振る舞い / Landau-Ginzburg型方程式 / 半空間におけるKdV方程式 / Modified KdV equation / Asymptotics of solutions / boundary value problem / 被覆(分岐被覆) / 代数関数体 / 本質的自己共役性 / アインシュタイン方程式 / ヤン・ミルズ方程式 / 変分原理 / 非線型熱方程式 / 不安定な解 / ヤン・ミルズ場のモジュライ / ディラック方程式 / 非相対論 / ネット / 射影空間 / 結合構造 / 自己同型群 / 基本群 / 分岐被覆 / モノドロミー群 / パッフ系 / ハミルトニアン / 自己共役 / 多重表象 / コンパクト化 / 複素構造 / Einstein-Kahler計量 / 擬ノルム構造 / 極限擬ノルム構造 / Torelli型定理 / 定スカラー曲率 / 非線型発展方程式 / ソリトン / 特異摂動 / ヴァンヴレェック-パウリの公式 / モ-ス理論 / 擬正則曲線 / Gromov-Witten不変量 / モデュライ / ヴァン・ヴレェック-パウリの公式 / 凸な物体 / ゼーター関数 / 散乱行列 / 量子力学 / 絶対収束軸 / クライン-ゴルドン方程式 / 漸近的振る舞い / 共鳴現象 / 散乱作用素 / 修正散乱作用素 / 非線形Klein-Gordon方程式 / 非線形Schredinger方程式 / クラインーゴルドン方程式 / 固有振動数 / 非線形問題 / 非線形Klein-Gordon / 非線形Schrodinger / 消散項 / 南雲型のCauchy=Kowalevskayaの定理 / 擬Jordan標準形 / 系の行列式理論 / p-parabolic system / 強双曲系 / 超弱双曲系 / 南雲型のCauchy-Kowalevskayaの定理 / 擬Jordan型の標準形 / Jordan型の擬標準形 / 特異性の伝播 / 曲率 / 曲率構造 / 曲率演算 / アインシュタイン=ケーラー計量 / ファノ多様体 / モンジュ=アンペール方程式 / ヤンミルズ場 / 一般化されたカラビ予想 / 二木不変量 / geometric invariant theory / 偏微分方程式 / 地震波 / 弾性方程式 / 適切性 / 非線型現象 / シュレ-ディンガー作用素 / partial differential equations / scattering theory / wave of earthquake / elastic equation / well posedness / nonlinear phenomenon / 平均曲率一定曲面 / 安定解 / アインシュタイン計量 / 時空間図形 / constant mean curvature / Einstein metric / 微分方程式 / 準楕円性 / Dirac作用素 / 力学系 / 周期解 / schroedinger方程式 / 可積分系 / differential equations / evolution equations / hypoellicptic / scattering / Dirac operator / 表象 / ウィグナー・ディストリビューション / コンパクト作用素 / スペクトル不変性 / フーリエ解析 / レゾルベント / L^2空間 / symbol / Wigner distribution / compact operators / spectral inveriance / quantized Hamiltonian / Potential / ウェーブレット / 時間周波数解析 / 画像処理 / フーリエ変換 / 通信理論 / 多重解像度解析 / フレーム / ガボール変換 / 多重ウェーブレット / L^2(R^n)-空間 / 完全正規直交系 / wavelet / time-frequency analysis / image processing / Fourier Transformation / communication / pseudo-differential / singularity / Schrodiuger方程式 / 分散方程式 / Gevrey関数 / Schrodinger方程式 / 退任放物型方程式 / dispersion equation / regularity / Gevrey class / Cauchy problem / 走化性方程式 / 自由エネルギー / 爆発 / 量子化 / 局所化 / Langevin方程式 / Fokker-Planck方程式 / 脳磁図分析 / 弾性波動 / 数理ファイナンス / 共形場理論 / 圧縮性粘性流体方程式 / 双曲型方程式系 / chams taxis / free energy / blow-up / quantization / localization / Langevin equation / Fokker-Pharck equation / Ruelle作用素 / カオス / 有利型 / 波動 / clssical dynamics / Ruelle operator / chaos / zeta function / meromorphic / pole / Modified KdV方程式 / KdV-Burgers方程式 / シュ・レデインガー方程式 / 非線形分散型方程式 / Schredinger equation / Scattering problem / KdV-Burgers equation / Landau-Ginzburg type equation / KdV equation on a halfline / 振動積分 / フーリエ積分作用素 / 大域的有界性 / Lp-解析 / 正準変換 / 平滑化作用 / 除去可能特異点 / Oscillatory Integral / Fourier Integral Operator / Global boundedness / Schoedinger equation / Cauchy Problem / Lp-Analysis / Coronical transform / 超平滑化効果 / 非線型問題の大域解 / 解の正則姓 / 時間的減衰 / 非線形問題の大域解 / Dispersion / Micro local analysis / Differential equation / 超局所化 / Dispersion equation / mocrolocal smoothing effect / global solution of nonlinear problem / regularity of solution / time decay / 曲線 / 曲面 / 極小曲面 / 非連結 / 境界 / 部分多様体 / 一般次元 / 極小部分多様体 / 平均曲率一定超曲面 / 運動方程式 / 解の滑らかさ / Variational problem / Evolution equation / curve / surface / 非線形シュレデインガー方程式 / 修正KdV方程式 / 修正波動作用素 / 非線形消散型波動方程式 / エアリー型方程式 / シュレデインガー型方程式 / 非線形消散型方程式 / 消散形波動方程式 / 分数冪熱方程式 / バーガーズ方程式 / 漸近評価 / 大域的存在 / 強非線形性 / 消散型波動方程式 / 半空間 / Burgers方程式 / 圧縮性粘性流体 / Nonlinear Schredinger equation / Modified wave operator / Nonlinear damped wave equation / Airy type equations / Nonlinear dissipative equations / Schredinger type equation / D加群 / 指数定理 / 超局所オイラー類 / D Modules Less

Cauchy problem for differential operators with triple effectively hyperbolic characteristicsPrincipal Investigator
- Principal Investigator
  
  西谷達雄
- Project Period (FY)
  2020 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Osaka University
Transversally strictly hyperbolic systemsPrincipal Investigator
- Principal Investigator
  
  西谷達雄
- Project Period (FY)
  2017 – 2021
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Mathematical analysis
- Research Institution
  Osaka University
Gevrey strong hyperbolicity and the structure of Hamilton map and flowPrincipal Investigator
- Principal Investigator
  
  Nishitani Tatsuo
- Project Period (FY)
  2014 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Mathematical analysis
- Research Institution
  Osaka University
Hyperbolic operators with double characteristics, Hamilton map and Hamilton flowPrincipal Investigator
- Principal Investigator
  
  NISHITANI Tatsuo
- Project Period (FY)
  2011 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Osaka University
Microlocal analysis and global analysis of dispersive equations
- Principal Investigator
  
  DOI Shin-ichi
- Project Period (FY)
  2009 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Osaka University
Phase Space Analysis of Partial Differential EquationsPrincipal Investigator
- Principal Investigator
  
  NISHITANI Tatsuo
- Project Period (FY)
  2007 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Basic analysis
- Research Institution
  Osaka University
On study of evolution equations with hyperbolic properties
- Principal Investigator
  
  HAYASHI Nakao
- Project Period (FY)
  2007 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Osaka University
Study on systems of partial differential equations applying the abstract algebra
- Principal Investigator
  
  MATSUMOTO Waichiro
- Project Period (FY)
  2007 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Ryukoku University
Boundary value problems and Index Theorem for D Modules
- Principal Investigator
  
  UCHIDA Motoo
- Project Period (FY)
  2004 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Osaka University
On study of partial differential equations describing natural phenomena
- Principal Investigator
  
  HAYASHI Nakao
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Basic analysis
- Research Institution
  Osaka University
Studies on a new class of hyperbolic systemsPrincipal Investigator
- Principal Investigator
  
  NISHITANI Tatsuo
- Project Period (FY)
  2003 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Osaka University
Variational problem and evolution equation of curves and surfaces
- Principal Investigator
  
  KOISO Norihito
- Project Period (FY)
  2002 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  Osaka University
STRACTURE OF PARTIAL DIFFERENTIAL EQUATIONS BY SMOOTHING EFFECT
- Principal Investigator
  
  KAJITANI Kunihiko
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  UNIVERSITY OF TSUKUBA
Study on the relationships between the classical mechanics and the chaotic properties of wave motions
- Principal Investigator
  
  IKAWA Mitsuru
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Kyoto University
ON SOLUTIONS OF NONLINEAR DISPERSIVE EQUATIONS
- Principal Investigator
  
  HAYASHI Nakao
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Osaka University
  Tokyo University of Science
The relation between the quantitative properties of the solutions of partial differential equations and the geometrical structures of their characteristics
- Principal Investigator
  
  SUGIMOTO Mitsuru
- Project Period (FY)
  2000 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Osaka University
Smoothing effect of Partial differential equations
- Principal Investigator
  
  KUNIKIKO Kajitani
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (B).
- Research Field
  
  Basic analysis
- Research Institution
  Tsukuba University
Theory of hyperloobic systemsPrincipal Investigator
- Principal Investigator
  
  NISHITANI Tatsuo
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Osaka University
Mathematical Analysis for Partial Differential Equations Arising in Mathematical Sciences
- Principal Investigator
  
  SUJUKI Takoshi
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (B).
- Research Field
  
  Global analysis
- Research Institution
  Osaka University
いくつかの凸な物体による散乱
- Principal Investigator
  
  IKAWA Mitsuru
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Global analysis
- Research Institution
  Kyoto University
  Osaka University
Global analysis of curves and surfaces
- Principal Investigator
  
  KOISO Norihito
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  Osaka University
Synthetic research on differential equations
- Principal Investigator
  
  IKAWA Mitsuru
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  解析学
- Research Institution
  Osaka University, Graduate School of Sciences
Study on symmetric positive systemsPrincipal Investigator
- Principal Investigator
  
  NISHITANI Tatsuo
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  Osaka University
Pseudodifferential Operators and Schrodinger Equations
- Principal Investigator
  
  NAGASE Michihiro
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  OSAKA UNIVERSITY
Theory of multi-wavelet and its application
- Principal Investigator
  
  NAGASE Michihiro
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  Osaka University
ファインマン積分とその摂動展開から導出される幾何学的不変量の研究
- Principal Investigator
  
  榎一郎
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Osaka University
確率振動積分の漸近評価
- Principal Investigator
  
  眞鍋昭治郎
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Osaka University
ウィーナー空間上の確率解析
- Principal Investigator
  
  真鍋昭次郎
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Osaka University
ファインマン積分とその摂動展開から導出される幾何学的不変量の研究
- Principal Investigator
  
  榎一郎
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Osaka University
Symmetric systems and strongly hyperbolic systemsPrincipal Investigator
- Principal Investigator
  
  NISHITANI Tatsuo
- Project Period (FY)
  1995 – 1996
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  Osaka University
ケーラー多様体上のソリトン
- Principal Investigator
  
  榎一郎
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Osaka University
弾性波動方程式の研究
- Principal Investigator
  
  小磯憲史
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Osaka University
双曲型偏微分方程式の初期値問題Principal Investigator
- Principal Investigator
  
  西谷達雄
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Osaka University
Scattering theory of partial differential equations and its applications
- Principal Investigator
  
  IKAWA Mitsuru
- Project Period (FY)
  1994 – 1995
- Research Category
  
  Grant-in-Aid for Co-operative Research (A)
- Research Field
  
  解析学
- Research Institution
  Osaka University
物理数学の方程式と擬微分作用素論
- Principal Investigator
  
  長瀬道弘
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Osaka University
幾何構造の退化とモジュライのコンパクト化
- Principal Investigator
  
  満渕俊樹
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Osaka University
弾性曲線の研究(熱方程式による分析)
- Principal Investigator
  
  小磯憲史
- Project Period (FY)
  1992
- Research Institution
  Osaka University
代数的組合せ論の研究と有限射影平面研究への応用
- Principal Investigator
  
  平峰豊
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Osaka University
複素多様体の基本群と分岐被覆
- Principal Investigator
  
  難波誠
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Osaka University
多重特性点を有す双曲型作用素及び系の研究Principal Investigator
- Principal Investigator
  
  西谷達雄
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Osaka University
アインシュタイン計量の熱方程式による研究
- Principal Investigator
  
  KOISO Norihito
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Osaka University
擬微分作用素論とハミルトン作用素
- Principal Investigator
  
  長瀬道弘
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Osaka University
複素多様体の分岐被覆
- Principal Investigator
  
  NAMBA Makoto
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Osaka University
擬微分作用素論とシュレディンガ-方程式
- Principal Investigator
  
  NAGASE Michihiro
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Osaka University
リーマン空間の曲率構造と曲率演算について
- Principal Investigator
  
  小島政利, 満渕俊樹
- Project Period (FY)
  1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Tottori University
  Osaka University

[Book] Cauchy problem for differential operators with double characteristics2017
- Author(s)
  T.Nishitani
- Total Pages
  211
- Publisher
  Springer
- ISBN
  9783319676111
- Data Source
  KAKENHI-PROJECT-26400167
[Book] Cauchy problem for differential operators with double characteristics2017
- Author(s)
  T.Nishitani
- Total Pages
  211
- Publisher
  Springer
- ISBN
  9783319676111
- Data Source
  KAKENHI-PROJECT-17K05324
[Book] 線形双曲型偏微分方程式2015
- Author(s)
  西谷達雄
- Total Pages
  286
- Publisher
  朝倉書店
- Data Source
  KAKENHI-PROJECT-26400167
[Book] Hyperbolic Systems with Analytic Coefficients2014
- Author(s)
  T.Nishitani
- Publisher
  Springer
- Data Source
  KAKENHI-PROJECT-23540199
[Book] Hyperbolic systems with analytic coefficients2014
- Author(s)
  T.Nishitani
- Total Pages
  237
- Publisher
  Springer
- Data Source
  KAKENHI-PROJECT-26400167
[Book] Cauchy Problem for Noneffectively Hyperbolic Operators2013
- Author(s)
  Tatsuo Nishitani
- Total Pages
  170
- Publisher
  Mathematical Society of Japan
- Data Source
  KAKENHI-PROJECT-23540199
[Book] Cauchy problem for Noneffectively Hyperbolic Operators2013
- Author(s)
  T.Nishitani
- Publisher
  Mathematical Society of Japan
- Data Source
  KAKENHI-PROJECT-23540199
[Book] Hyperbolic Problems and Related Topics2003
- Author(s)
  T.Nishitani, F.Colombini
- Total Pages
  436
- Publisher
  International Press
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340044
[Journal Article] On the Cauchy problem for D_t^2-D_x(b(t)a(x))D_x2020
- Author(s)
  Colombini Ferruccio, Nishitani Tatsuo
- Journal Title
  
  Journal of Hyperbolic Differential Equations
  
  Volume: 17 Pages: 75-122
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05324
[Journal Article] On the Cauchy problem for D_t^2-D_x(b(t)a(x))D_x2020
- Author(s)
  Colombini Ferruccio, Nishitani Tatsuo
- Journal Title
  
  J. Hyperbolic Differ. Equ.
  
  Volume: 17
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05324
[Journal Article] Notes on symmetrization by Bezoutian2020
- Author(s)
  Nishitani Tatsuo
- Journal Title
  
  Bollettino dell'Unione Matematica Italiana
  
  Volume: 13 Pages: 417-428
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05324
[Journal Article] Cauchy problem for hyperbolic operators with triple effective characteristics on the initial plane2020
- Author(s)
  Nishitani Tatsuo, Petkov Vesselin
- Journal Title
  
  Osaka Journal of Mathematics
  
  Volume: 57 Pages: 597-615
- NAID
  120006871534
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05324
[Journal Article] Notes on symmetrization by Bezoutian2020
- Author(s)
  Nishitani Tatsuo
- Journal Title
  
  Bollentino dell'Unione Matematica Italiana
  
  Volume: 13 Pages: 417-428
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03679
[Journal Article] Cauchy problem for hyperbolic operators with triple effective characteristics on the initial plane2020
- Author(s)
  Nishitani Tatsuo, V.Petkov
- Journal Title
  
  Osaka Journal of Mathematics
  
  Volume: 57 Pages: 597-615
- NAID
  120006871534
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03679
[Journal Article] Transversally strictly hyperbolic systems2020
- Author(s)
  Nishitani Tatsuo
- Journal Title
  
  Kyoto Journal of Mathematics
  
  Volume: 60 Pages: 1399-1418
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05324
[Journal Article] Transversally strictly hyperbolic systems2020
- Author(s)
  Nishitani Tatsuo
- Journal Title
  
  Kyoto J. Math.
  
  Volume: 60
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05324
[Journal Article] Cauchy problem for effectively hyperbolic operators with triple characteristics2019
- Author(s)
  Nishitani Tatsuo, Petkov Vesselin
- Journal Title
  
  J. Math. Pures Appl.
  
  Volume: 123 Pages: 201-228
- DOI
  10.1016/j.matpur.2018.06.006
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05324
[Journal Article] Weakly hyperbolic systems by symmetrization2019
- Author(s)
  Colombini Ferruccio, Nishitani Tatsuo, Rauch Jeffrey
- Journal Title
  
  Ann. Sci. Norm. Super. Pisa
  
  Volume: XIX Pages: 217-251
- DOI
  10.2422/2036-2145.201610_006
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05324
[Journal Article] Note on strongly hyperbolic systems with involute characteristics2018
- Author(s)
  G.Metivier and T.Nishitani
- Journal Title
  
  Kyoto J.Math.
  
  Volume: 印刷中
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400167
[Journal Article] Note on strongly hyperbolic systems with involute characteristics2018
- Author(s)
  G.Metivier and T.Nishitani
- Journal Title
  
  Kyoto J. Math.
  
  Volume: 印刷中
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05324
[Journal Article] Note on strongly hyperbolic systems with involutive characteristics2018
- Author(s)
  Metivier Guy、Nishitani Tatsuo
- Journal Title
  
  Kyoto Journal of Mathematics
  
  Volume: 58 Pages: 569-582
- DOI
  10.1215/21562261-2017-0029
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17K05324
[Journal Article] On the Cauchy problem for differential operators with double characteristics, A transition from non-effective to effective characteristics2018
- Author(s)
  T.Nishitani
- Journal Title
  
  Publ. RIMS Koyto Uiniv.
  
  Volume: 54 Pages: 317-349
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-26400167
[Journal Article] On the Cauchy Problem for Differential Operators with Double Characteristics, A Transition from Non-effective to Effective Characteristics2018
- Author(s)
  Nishitani Tatsuo
- Journal Title
  
  Publications of the Research Institute for Mathematical Sciences
  
  Volume: 54 Pages: 317-349
- DOI
  10.4171/prims/54-2-3
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17K05324
[Journal Article] The Cauchy problem for differential operators with double characteristics2018
- Author(s)
  Nishitani Tatsuo
- Journal Title
  
  Sugaku Expositions
  
  Volume: 31 Pages: 169-197
- DOI
  10.1090/suga/433
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05324
[Journal Article] On the Cauchy problem for differential operators with double characteristics, A transition from non-effective to effective characteristics2018
- Author(s)
  T.Nishitani
- Journal Title
  
  Publ. RIMS Kyoto Univ.
  
  Volume: 54 Pages: 317-349
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17K05324
[Journal Article] Note on strongly hyperbolic systems with involute characteristics2017
- Author(s)
  G.Metivier and T.Nishitani
- Journal Title
  
  Kyoto J. Math.
  
  Volume: 印刷中
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400167
[Journal Article] On the Gevrey strong hyperbolicity2017
- Author(s)
  T.Nishitani
- Journal Title
  
  Osaka J. Math.
  
  Volume: 54 Pages: 383-408
- NAID
  120006312693
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-26400167
[Journal Article] On the Gevrey strong hyperbolicity2017
- Author(s)
  T.Nishitani
- Journal Title
  
  Osaka J. Math.
  
  Volume: 54 Pages: 383-408
- NAID
  120006312693
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17K05324
[Journal Article] A simple proof of the existence of tangent bicharacteristics for noneffectively hyperbolic operators2015
- Author(s)
  T.Nishitani
- Journal Title
  
  Kyoto Journal of Mathematics
  
  Volume: 55 Pages: 281-297
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-26400167
[Journal Article] Counterexamples to $ C^{\infty}$ well posedness for some hyperbolic operators with triple characteristics2015
- Author(s)
  E.Bernardi and T.Nishitani
- Journal Title
  
  Proc. Japan Acad. Ser A.
  
  Volume: 91 Pages: 19-24
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400167
[Journal Article] Parametric resonance in wave map2014
- Author(s)
  T.Nishitani and K.Yagdjian
- Journal Title
  
  Funkcialaj Ekvacioj
  
  Volume: 57 Pages: 351-374
- NAID
  130004927739
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-26400167
[Journal Article] Local and micro local Cauchy problem for non-effectively hyperbolic operators2014
- Author(s)
  T.Nishitani
- Journal Title
  
  J.Hyperbolic Differ. Equ.
  
  Volume: 11 Pages: 185-213
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26400167
[Journal Article] 二次特性的双曲型偏微分法廷式の初期値問題の適切性2014
- Author(s)
  西谷達雄
- Journal Title
  
  数学
  
  Volume: 66 Pages: 366-391
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26400167
[Journal Article] On the Cauchy problem for hyperbolic operators with double characteristics, a transition case2014
- Author(s)
  T.Nishitani
- Journal Title
  
  Fourier Analysis, Trends in Mathematics
  
  Pages: 311-334
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540199
[Journal Article] On the Cauchy problem for noneffectively hyperbolic operators, a transition case2013
- Author(s)
  Tatsuo Nishitani
- Journal Title
  
  Studies in Phase Space Analysis with Applications to PDEs
  
  Volume: 84
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540199
[Journal Article] On the Cauchy problem for noneffectively hyperbolic operators, a transition case2013
- Author(s)
  T.Nishitani
- Journal Title
  
  Studies in Phase Space Analysis with Applications to PDEs
  
  Volume: 84 Pages: 259-290
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540199
[Journal Article] On the Cauchy problem for non effectively hyperbolic operators, a transition case2013
- Author(s)
  T.Nishitani
- Journal Title
  
  Studies in Phase Space Analysis with Applications to PEDs
  
  Volume: vol 84 Pages: 259-290
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540199
[Journal Article] Note on lower bounds of energy growth for solutions to wave equations2012
- Author(s)
  S.Doi, T.Nishitani, H.Ueda
- Journal Title
  
  Osaka J. Math
  
  Volume: Vol 49 Pages: 1065-1085
- NAID
  120005174161
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540199
[Journal Article] Note on lower bounds of energy growth for solutions to wave equations2012
- Author(s)
  S.Doi, T.Nishitani, and H.Ueda
- Journal Title
  
  Osaka J. Math.
  
  Volume: 49 Pages: 1065-1085
- NAID
  120005174161
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540199
[Journal Article] Note on lower bounds of energy growth for solutions to wave equations2012
- Author(s)
  Shin-ichi Doi, Tatsuo Nishitani, Hideo Ueda
- Journal Title
  
  Osaka Journal of Mathematics
  
  Volume: vol.49 Pages: 1065-1085
- NAID
  120005174161
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540178
[Journal Article] On the Cauchy problem for noneffectively hyperbolic operators: Gevrey 4 well-posedness2011
- Author(s)
  E.Bernardi, T.Nishitani
- Journal Title
  
  Kyoto J. Math.
  
  Volume: 51 Pages: 767-810
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540199
[Journal Article] Some well-posed Cauchy problem for second order hyperbolic equations2011
- Author(s)
  F.Colombini, T.Nishitani, N.Orru, L.Pernazza
- Journal Title
  
  Osaka J.Math.
  
  Volume: 48 Pages: 645-673
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540199
[Journal Article] On the Cauchy problem for noneffectively hyperbolic operators, the Gevrey 4 well-posedness2011
- Author(s)
  E.Bernardi, T.Nishitani
- Journal Title
  
  Kyoto J. Math
  
  Volume: Vol 51 Pages: 767-810
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540199
[Journal Article] On the Cauchy problem for noneffectively hyperbolic operators, the Gevrey 3 well-posedness2011
- Author(s)
  E.Bernardi, T.Nishitani
- Journal Title
  
  J. Hyperbolic Differ. Equ
  
  Volume: vol 8 Pages: 615-650
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540199
[Journal Article] Some well-posed Cauchy problem for second order hyperbolic equations2011
- Author(s)
  F.Colombini, T.Nishitani, N.Oruu, L.Pernazza
- Journal Title
  
  Osaka J. Math
  
  Volume: vol 48 Pages: 645-673
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540199
[Journal Article] A note on the zero free region of the Stokes multipliers for second order ordinary differential equations with cubic polynomial coefficients2011
- Author(s)
  T.Nishitani
- Journal Title
  
  Funkcialaj Ekvacioj
  
  Volume: vol 54 Pages: 473-483
- NAID
  130001271654
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540199
[Journal Article] A class of Fourier integral operators with complex phase related to the Gevrey classes2010
- Author(s)
  T.Nishitani, M.Tamura
- Journal Title
  
  Journ.Pseudo-Diffr.Oper.Appl. vol 1
  
  Pages: 255-292
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540202
[Journal Article] A class of Fourier integral operators with complex phase related to the Gevrey classes2010
- Author(s)
  T.Nishitani, M.Tamura
- Journal Title
  
  Journ.Pseudo-Diff.Oper.Appl.
  
  Volume: 1 Pages: 255-292
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540202
[Journal Article] A class of Fourier integral operators with complex phase related to the Gevrey classes2010
- Author(s)
  T.Nishitani, M.Tamura
- Journal Title
  
  J.Pseudo-Differ.Oper.Appl. vol 1
  
  Pages: 255-292
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204013
[Journal Article] A class of Fourier integral operators with complex phase related to the Gevrey classes2010
- Author(s)
  Tatsuo Nishitani, Mitsuji Tamura
- Journal Title
  
  J.Pseudo-Differ.Oper.Appl.
  
  Volume: 1 Pages: 255-292
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204013
[Journal Article] On Gevrey well-posedness of the Cauchy problem for some noneffectively hyperbolic operators2009
- Author(s)
  T.Nishitani
- Journal Title
  
  Advances in Phase Space Analysis of Partial Differential Equations, Birkhauser
  
  Pages: 217-233
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540202
[Journal Article] On Gevrey well-posedness of the Cauchy problem for some noneffectively hyperbolic operators, Advances in Phase Space Analysis in PDEs2009
- Author(s)
  T. Nishitani
- Journal Title
  
  Birkhauser
  
  Pages: 217-232
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204013
[Journal Article] On Gevrey well-posedness of the Cauchy problem for some noneffectively hyperbolic operators2009
- Author(s)
  Tatsuo Nishitani
- Journal Title
  
  Advances in Phase Space Analysis of partial Differential Equations, Birkhauser
  
  Pages: 217-213
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204013
[Journal Article] On Gevrey well-posedness of the Cauchy problem for some non- effectively hyperbolic operators2009
- Author(s)
  T. Nishitani
- Journal Title
  
  Advances in Phase Space Analysis of Partial Differential Equations, Birkhauser
  
  Pages: 217-233
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540202
[Journal Article] On Gevrey well-posedness of the Cauchy problem for some non-effectively hyperbolic operators2009
- Author(s)
  T.Nishitani
- Journal Title
  
  Advances in Phase Space Analysis of Partial Differential Equations, Birkhauser
  
  Pages: 217-233
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540202
[Journal Article] On the Cauchy problem for non effectively Puypertolic operatore, the Iwcu-Petkov-Hormanden condition and the Gevreg well poeedness2008
- Author(s)
  T., Nishitani
- Journal Title
  
  Sendica Math. Journal 34
  
  Pages: 1001-1024
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540150
[Journal Article] On the Cauchy problem for noneffectively hyperbolic operators, the Ivrii-Petkov-Hormander condition and the Gevrey well-posedness2008
- Author(s)
  T.Nishitani
- Journal Title
  
  Serdica Math.J. vol 34
  
  Pages: 155-178
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204013
[Journal Article] On the Cauchy problem for non effectively hyperbolic operators, the lvrii-Petkov-Hormander condition and the Gevrey well-posedness2008
- Author(s)
  T. Nishitani
- Journal Title
  
  Serdica Math. J. 34
  
  Pages: 155-178
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204013
[Journal Article] On the Cauchy problem for non effectively hyperbolic operatone, the Iurii-Petkou-Hormandes cond-ition and the Gevrey2008
- Author(s)
  T. Nishitani
- Journal Title
  
  Serdica Math. Jowmal well posednees 34
  
  Pages: 1001-1024
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16540150
[Journal Article] On the Cauchy problem for noneffectively hyperbolic operators, the Gevrey 5 well-posedness2008
- Author(s)
  E.Bernardi, T.Nishitani
- Journal Title
  
  J. d'Analyse Math. vol 105
  
  Pages: 197-240
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204013
[Journal Article] On the Cauchy problem for non-effectively hyperbolic Operators, the Gevrey 5 well-posedness2008
- Author(s)
  T. Nishitani, E. Bernardi
- Journal Title
  
  J. d'Analyse Math. 105
  
  Pages: 197-240
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204013
[Journal Article] On the Cauchy problem for non-effectively hyperbolic operators, the Gevrey 5 well-posedness2008
- Author(s)
  T. Nishitani, E. Bernardi
- Journal Title
  
  J. d'Analyse Math. 105
  
  Pages: 197-240
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204013
[Journal Article] On the Cauchy problem for noneffectively hyperbolic operators, the Ivrii-Petkov-Hormander condition and the Gevrey well-posedness2008
- Author(s)
  T. Nishitani
- Journal Title
  
  Serdica Math. J 34
  
  Pages: 155-178
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204013
[Journal Article] On the Cauchy problem for noneffectively hyperbolic operators the Gevrey 5 well-posedness2008
- Author(s)
  T. Nishitani
- Journal Title
  
  J. d'Analyse Math 105
  
  Pages: 197-240
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204013
[Journal Article] On the Cauchy problem for non effectively hyperbolic Operators, the Ivrii-Petkov-Hormander condition and the Gevrey well-poseness2008
- Author(s)
  T. Nishitani
- Journal Title
  
  Serdica Math. J. 34
  
  Pages: 155-178
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204013
[Journal Article] Second order weakly hyperbolic operators with coefficients sum of powers of functions2007
- Author(s)
  F. Colombini, T. Nishitani
- Journal Title
  
  Osaka J. Math vol. 44
  
  Pages: 121-137
- NAID
  120004842760
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540202
[Journal Article] An example of the Cauchy problem well posed in any Gevrey class2007
- Author(s)
  T.Nishitani, F.Colombini
- Journal Title
  
  Annali Mat. Pura Appl. 23(in press)(To appear)
- Data Source
  KAKENHI-PROJECT-15340044
[Journal Article] Second order weakly hyperbolic operators with coefficients sum of powers of functions2007
- Author(s)
  F.Colombini and T.Nishitani
- Journal Title
  
  Osaka J.Math. 44
  
  Pages: 121-137
- NAID
  120004842760
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540202
[Journal Article] Second order weakly hyperbolic operators with coefficients sum of powers of functions2007
- Author(s)
  F.Colombini, T.Nishitani
- Journal Title
  
  Osaka J.Math. vol.44
  
  Pages: 121-137
- NAID
  120004842760
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540202
[Journal Article] An example of the Cauchy problem well posed in any Gevrey class2007
- Author(s)
  F. Colombini, T. Nishitani
- Journal Title
  
  Annali Mat. Pura Appl vol. 186
  
  Pages: 521-643
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540202
[Journal Article] An example of the Cauchy problem well posed in any Gevrey class2007
- Author(s)
  F.Colombini and T.Nishitani
- Journal Title
  
  Annali Mat.Pura Appl. 186
  
  Pages: 521-643
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540202
[Journal Article] An example of the Cauchy problem well posed in any Gevrey class2007
- Author(s)
  T. Nishitani, F. Colombini
- Journal Title
  
  Annali di Matematica 186
  
  Pages: 621-643
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204013
[Journal Article] Second order hyperbolic operators with coefficients sum of Dowers of functions2007
- Author(s)
  T.Nishitani, F.Colombini
- Journal Title
  
  Osaka J. Math. 44
  
  Pages: 1-17
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340044
[Journal Article] Second order hyperbolic operators with coefficients sum of powers of functions2007
- Author(s)
  T.Nishitani, F.Colombini
- Journal Title
  
  Osaka J.Math. 44
  
  Pages: 1-17
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340044
[Journal Article] An example of the Canchy problem well posed in any Geviey claee2007
- Author(s)
  F. Colombini・T. Nishitani
- Journal Title
  
  Annali di Matematica 186
  
  Pages: 621-643
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16540150
[Journal Article] Second order weakly hyperbolic operators with coefficients sum of powers of functions2007
- Author(s)
  T. Nishitani, F. Colombini
- Journal Title
  
  Osaka J. Math. 44
  
  Pages: 121-137
- NAID
  120004842760
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204013
[Journal Article] Second order hyperbolic operators with coefficients sum of powers of functions2007
- Author(s)
  T.Nishitani, F.Colombini
- Journal Title
  
  Osaka J. Math. 44
  
  Pages: 1-17
- Data Source
  KAKENHI-PROJECT-15340044
[Journal Article] An example of the Canchy Problem well pored in any Georey class2007
- Author(s)
  F., Colombini, T., Nishitani
- Journal Title
  
  Annali di Matematica 186
  
  Pages: 621-643
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540150
[Journal Article] An example of the Cauchy problem well posed in any Gevrey class2007
- Author(s)
  F.Colombini, T.Nishitani
- Journal Title
  
  Annali Mat.Pura Appl. vol.186
  
  Pages: 521-643
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540202
[Journal Article] An example of the Cauchy problem well posed in any Gevrey class2007
- Author(s)
  T.Nishitani, F.Colombini
- Journal Title
  
  Annali Mat.Pura Appl. (掲載決定)(to appear)
- Data Source
  KAKENHI-PROJECT-15340044
[Journal Article] Second order weakly Puypertolic oreatoce with coefficiente sum of powers of functionce2007
- Author(s)
  F., Colombini, T., Nishitani
- Journal Title
  
  Osaka Journal of Matheratice 44
  
  Pages: 121-137
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540150
[Journal Article] Second osdes weakly hyperbolic operators with coefficients sum of powers of functions2007
- Author(s)
  F. Colombini・T. Nishitani
- Journal Title
  
  Osaka Jownal of Mathematics 44
  
  Pages: 121-137
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16540150
[Journal Article] On the Cauchy problem for $D_t^2-D_xa(t,x)^nD_x2006
- Author(s)
  T.Nishitani
- Journal Title
  
  Annali dell'Universita'di Ferrara (to appear in Springer) (掲載決定)(to appear)
- Data Source
  KAKENHI-PROJECT-15340044
[Journal Article] On the Cauchy problem for $D_t^2-D_xa(t,x)D_x$ in the Gevrey Class of order $s>2$2006
- Author(s)
  T.Nishitani
- Journal Title
  
  Comm. P. D. E. 31
  
  Pages: 1289-1319
- Data Source
  KAKENHI-PROJECT-15340044
[Journal Article] Smoothly symmetrizable complex systems and the real reduced dimension2006
- Author(s)
  T.Nishitani, J.Vaillant
- Journal Title
  
  Tsukuba J. Math. 30
  
  Pages: 259-271
- NAID
  120005366084
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340044
[Journal Article] Non effectively hyperbolic operators and bicharacteristics2006
- Author(s)
  T.Nishitani
- Journal Title
  
  Proceedings of the conference "Phase Space Analysis of PDE's" (to appear in Birkhauser) (掲載決定)(to appear)
- Data Source
  KAKENHI-PROJECT-15340044
[Journal Article] Non effectively hyperbolic operators and bicharacteristics2006
- Author(s)
  T.Nishitani
- Journal Title
  
  Phase Space Analysis of PDE's, Birkhauser
  
  Pages: 217-246
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340044
[Journal Article] Non effectively hyperbolic operators and bicharacteristics2006
- Author(s)
  T.Nishitani
- Journal Title
  
  Phase Space Analysis of PDE's(Birkhauser)
  
  Pages: 217-246
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340044
[Journal Article] On the Cauchy problem for D_t^2- D_xa(t,x)D_x in the Gevrey class of order s>22006
- Author(s)
  T.Nishitani
- Journal Title
  
  Comm.P.D.Es. 31
  
  Pages: 1289-1319
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340044
[Journal Article] On the Cauchy problem for $D_t^2-D_xa(t,x)D_x$ in the Gevrey class of order $s>2$2006
- Author(s)
  T.Nishitani
- Journal Title
  
  Comm. P.D.Es. 31
  
  Pages: 1289-1319
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340044
[Journal Article] On the Cauchy problem for $D_t^2-D_xa(t,x)^nD_x$2006
- Author(s)
  T.Nishitani
- Journal Title
  
  Annali dell'Universita di Ferrara 52
  
  Pages: 395-430
- Data Source
  KAKENHI-PROJECT-15340044
[Journal Article] Smoothly symmetrizable complex systems and the real reduced dimension2006
- Author(s)
  T.Nishitani, J.Vaillant
- Journal Title
  
  Tsukuba J.Math. 30
  
  Pages: 259-271
- NAID
  120005366084
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340044
[Journal Article] Smoothly symmetrizable complex systems and the reduced dimension2006
- Author(s)
  T.Nishitani, J.Vaillant
- Journal Title
  
  Tsukuba Journal of Mathematics (掲載決定)(to appear)
- Data Source
  KAKENHI-PROJECT-15340044
[Journal Article] Non effectively hyperbolic operators, Hamilton map and bicharacteristics2004
- Author(s)
  T.Nishitani
- Journal Title
  
  J.Math.Kyoto Univ. 44
  
  Pages: 55-98
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340044
[Journal Article] Non effectively hyperbolic operators, Hamilton map and bicharacteristics2004
- Author(s)
  T.Nishitani
- Journal Title
  
  J. Math. Kyoto Univ. 44
  
  Pages: 55-98
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340044
[Journal Article] On finitely degenerate hyperbolic operators of second order2004
- Author(s)
  T.Nishitani, F.Colombini
- Journal Title
  
  Osaka J.Math. 41・4
  
  Pages: 933-947
- NAID
  120005986901
- Data Source
  KAKENHI-PROJECT-15340044
[Journal Article] An extension of Glaeser inequality and its applications2004
- Author(s)
  T.Nishitani, S.Spagnolo
- Journal Title
  
  Osaka J. Math. 41
  
  Pages: 145-157
- NAID
  120004839344
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340044
[Journal Article] Non effectively hyperbolic operators, Hamilton map and bicharacteristics2004
- Author(s)
  T.Nishitani
- Journal Title
  
  J.Math.Kyoto Univ. 44・1
  
  Pages: 55-98
- Data Source
  KAKENHI-PROJECT-15340044
[Journal Article] An extension of Glaeser inequality and its applications2004
- Author(s)
  T.Nishitani, S.Spagnolo
- Journal Title
  
  Osaka J.Math. 41
  
  Pages: 145-157
- NAID
  120004839344
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340044
[Journal Article] An extension of Glaeser inequality and its applications2004
- Author(s)
  T.Nishitani, S.Spagnolo
- Journal Title
  
  Osaka J.Math. 41・1
  
  Pages: 145-157
- NAID
  120004839344
- Data Source
  KAKENHI-PROJECT-15340044
[Journal Article] On the Cauchy problem for noneffectively hyperbolic operators
- Author(s)
  T.Nishitani
- Journal Title
  
  the Gevrey 4 well-posedness(Kyoto J. Math)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204013
[Journal Article] On the Cauchy problem for noneffectively hyperbolic operators
- Author(s)
  T.Nishitani
- Journal Title
  
  the Gevrey 3 well-posedness(J.H.D.E.に掲載確定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204013
[Presentation] Transversally strictly hyperbolic systems2018
- Author(s)
  Nishitani Tatsuo
- Organizer
  Linear and Nonlinear Wave Phenomena
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05324
[Presentation] On the Cauchy problem for $D_t^2-b(t)D_xa(x)D_x$2017
- Author(s)
  T.Nishitani
- Organizer
  Simposio di Analisi Matematica in occasione dei 70 anni di Ferruccio Colombini
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400167
[Presentation] On the Cauchy problem for $D_t^2-b(t)D_xa(x)D_x$2017
- Author(s)
  T.Nishitani
- Organizer
  Simposio di Analisi Matematica in occasione dei 70 anni de Ferruccio Colombini
- Invited
- Data Source
  KAKENHI-PROJECT-17K05324
[Presentation] On the Gevrey strong hyperbolicity2016
- Author(s)
  T.Nishitani
- Organizer
  Seminar on PDE, University of Pisa
- Place of Presentation
  Department of Math. University of Pisa (イタリア)
- Invited
- Data Source
  KAKENHI-PROJECT-26400167
[Presentation] On the Gevrey strong hyperbolicity2015
- Author(s)
  西谷達雄
- Organizer
  第２２回超局所解析と古典解析
- Place of Presentation
  富山県民会館
- Year and Date
  2015-12-05
- Invited
- Data Source
  KAKENHI-PROJECT-26400167
[Presentation] On the Gevrey strong hyperbolicity2015
- Author(s)
  Tatsuo Nishitani
- Organizer
  Seminaire sur equations hyperboliques et physique mathematique
- Place of Presentation
  IHP 研究所　パリ
- Year and Date
  2015-06-02
- Invited
- Data Source
  KAKENHI-PROJECT-26400167
[Presentation] A remark on the local and microlocal Cauchy problem for noneffectively hyperbolic operators2013
- Author(s)
  T.Nishitani
- Organizer
  Linear and Nonlinear Hyperbolic Equations
- Place of Presentation
  ピサ, イタリア
- Data Source
  KAKENHI-PROJECT-23540199
[Presentation] Local and microlocal Cauchy problem for noneffectively hyperbolic operators2013
- Author(s)
  Tatsuo Nishitani
- Organizer
  9-th International ISSAC Congress
- Place of Presentation
  クラコフ（ポーランド）
- Invited
- Data Source
  KAKENHI-PROJECT-23540199
[Presentation] 二次特性点を持つ偏微分方程式の初期値問題2013
- Author(s)
  西谷達雄
- Organizer
  2013年日本数学会企画特別講演
- Place of Presentation
  京都大学
- Data Source
  KAKENHI-PROJECT-23540199
[Presentation] A renark on the local and microlocal Cauchy problem for noneffectively hyperbolic operators2013
- Author(s)
  Tatsuo Nishitani
- Organizer
  Linear and Nonlinear Hyperbolic Equations
- Place of Presentation
  ピサ（イタリア）
- Invited
- Data Source
  KAKENHI-PROJECT-23540199
[Presentation] Local and microlocal Cauchy problem for noneffectively hyperbolic operators2013
- Author(s)
  T.Nishitani
- Organizer
  9-th International ISSAC Congress
- Place of Presentation
  クラコフ, ポーランド
- Data Source
  KAKENHI-PROJECT-23540199
[Presentation] On the Cauchy problem for noneffectively hyperbolic operators--a transition case2012
- Author(s)
  T.Nishitani
- Organizer
  Fourier Analysis and Pseudo-Differential Operators
- Place of Presentation
  Helsinki
- Invited
- Data Source
  KAKENHI-PROJECT-23540199
[Presentation] On the Cauchy Problem for noneffectively hyperbolic operators, a transition case2012
- Author(s)
  T.Nishitani
- Organizer
  Fourier Analysis and Pseudo-Differential Operators
- Place of Presentation
  ヘルシンキ, フィンランド
- Data Source
  KAKENHI-PROJECT-23540199
[Presentation] On the Cauchy problem for noneffectively hyperbolic operators, a transition case2011
- Author(s)
  T.Nishitani
- Organizer
  Perspectives in Phase Space Analysis on PDE's(招待講演)
- Place of Presentation
  Bertinoro (イタリア)
- Data Source
  KAKENHI-PROJECT-23540199
[Presentation] The Gevrey well-posedness of the Cauchy problem for noneffectively hyperbolic operators2011
- Author(s)
  T.Nishitani
- Organizer
  2011 NCTS Taiwan-Japan Workshop on PDEs and Geometric Analysis(招待講演)
- Place of Presentation
  台北 (台湾)
- Data Source
  KAKENHI-PROJECT-23540199
[Presentation] On the Cauchy problem for noneffectively hyperbolic operators, a transition case2011
- Author(s)
  T.Nishitani
- Organizer
  Perspectives in Phase Space Analysis on PDEs
- Place of Presentation
  Bertinoro, イタリア
- Year and Date
  2011-09-29
- Data Source
  KAKENHI-PROJECT-23540199
[Presentation] The Gevrey well-posedness of the Cauchy problem for noneffectively hyperbolic operators2011
- Author(s)
  T.Nishitani
- Organizer
  2011 NCTS Taiwan-Japan Workshop on PDEs and Geometric Analysis
- Place of Presentation
  台北, 台湾
- Year and Date
  2011-12-19
- Data Source
  KAKENHI-PROJECT-23540199
[Presentation] On the Cauchy problem for noneffectively hyperbolic operators in the Gevrey classes2010
- Author(s)
  西谷達雄
- Organizer
  The 8-th AIMS Conference on Dynamical Systems, Differential Equations and Applications
- Place of Presentation
  Dresden(Germany)
- Year and Date
  2010-05-27
- Data Source
  KAKENHI-PROJECT-19204013
[Presentation] On the Gevrey well-posedness of the Cauchy problem for noneffectively hyperbolis operators2010
- Author(s)
  Tatsuo Nishitani
- Organizer
  Linear and Nonlinear Hyperbolic Equations
- Place of Presentation
  Ennio De Giorgi Center, Pisa(ITALY)
- Year and Date
  2010-02-10
- Data Source
  KAKENHI-PROJECT-19204013
[Presentation] On the Cauchy problem for noneffectively hyperbolic operators in the Gevrey classes2010
- Author(s)
  Tatsuo Nishitani
- Organizer
  The 8-th AIMS Conference on Dynamical Systems, Differential Equations and Applications
- Place of Presentation
  Dresden University of Technology, Germany
- Year and Date
  2010-05-27
- Data Source
  KAKENHI-PROJECT-19204013
[Presentation] On the Gevrey well-posedness of the Cauchy problem for noneffectively hyperbolic operators2010
- Author(s)
  西谷達雄
- Organizer
  Linear and Nonlinear Hyperbolic Equations
- Place of Presentation
  Centro de Giorgi, Pisa (Italy)
- Year and Date
  2010-02-10
- Data Source
  KAKENHI-PROJECT-19204013
[Presentation] On the Gevrey well-posedness of the Cauchy problem for noneffectively hyperbolic operators2010
- Author(s)
  T. Nishitani
- Organizer
  Linear and Nonlinear Hyperbolic Equations
- Place of Presentation
  Ennio De Giorgi Center, Pisa, Italy
- Year and Date
  2010-02-10
- Data Source
  KAKENHI-PROJECT-19204013
[Presentation] 非効果的双曲型方程式の初期値問題とGevrey空間2010
- Author(s)
  西谷達雄
- Organizer
  2010年度日本数学会年会
- Place of Presentation
  慶応大学(函数方程式論分科会特別講演)
- Year and Date
  2010-03-24
- Data Source
  KAKENHI-PROJECT-19540202
[Presentation] 非効果的双曲型方程式の初期値問題と Gevrey 空間2010
- Author(s)
  西谷達雄
- Organizer
  日本数学会
- Place of Presentation
  慶応大学
- Year and Date
  2010-03-24
- Data Source
  KAKENHI-PROJECT-19540202
[Presentation] A class of Fourier integral operators with complex phase related to the Gevrey class2010
- Author(s)
  西谷達雄
- Organizer
  International Workshop on Global Properties of Partial Differential Equations on Manifolds
- Place of Presentation
  Cagliari (Italy)
- Year and Date
  2010-09-23
- Data Source
  KAKENHI-PROJECT-19204013
[Presentation] 非実効果的双曲型方程式の初期値問題と Gevrey 空間 (解析学賞受賞特別講演)2010
- Author(s)
  西谷達雄
- Organizer
  日本数学会2010年度年会
- Place of Presentation
  慶応大学
- Year and Date
  2010-03-24
- Data Source
  KAKENHI-PROJECT-19204013
[Presentation] 非効果的双曲型方程式の初期値問題と Gevrey 空間 (特別講演)2010
- Author(s)
  西谷達雄
- Organizer
  日本数学会
- Place of Presentation
  慶応大学
- Year and Date
  2010-03-24
- Data Source
  KAKENHI-PROJECT-19540202
[Presentation] 非効果的双曲型方程式の初期値問題とGevrey空間2010
- Author(s)
  西谷達雄
- Organizer
  日本数学会2010年度年会(解析学賞受賞特別講演)
- Place of Presentation
  慶応大学
- Year and Date
  2010-03-24
- Data Source
  KAKENHI-PROJECT-19204013
[Presentation] A class of Fourier integral operators with complex phase related to the Gevrey classes2010
- Author(s)
  Tatsuo Nishitani
- Organizer
  International Workshop on Global Properties of Partial Differential Equations on Manifolds
- Place of Presentation
  University of Cagliari, Italy
- Year and Date
  2010-09-23
- Data Source
  KAKENHI-PROJECT-19204013
[Presentation] On the Cauchy problem for noneffectively hyperbolic operators and the Gevrey classes2009
- Author(s)
  Tatsuo Nishitani
- Organizer
  7-th East Asia Conference on PDEs
- Place of Presentation
  The Chinese University of Hong Kong, Hong Kong(CHINA)
- Year and Date
  2009-12-15
- Data Source
  KAKENHI-PROJECT-19204013
[Presentation] On the Cauchy problem for noneffectively hyperbolic operators,the Gevrey 4 well-posedness2009
- Author(s)
  Tatsuo Nishitani
- Organizer
  7-th ISSAC Congress
- Place of Presentation
  Imperial College, London(UK)
- Year and Date
  2009-07-16
- Data Source
  KAKENHI-PROJECT-19204013
[Presentation] On the Cauchy problem for noneffectively hyperbolic operators and the Gevrey classes2009
- Author(s)
  西谷達雄
- Organizer
  The 7-th East Asia Conference on PEDs
- Place of Presentation
  Hong Kong (Hong Kong)
- Year and Date
  2009-12-15
- Data Source
  KAKENHI-PROJECT-19204013
[Presentation] On the Cauchy problem for noneffectively hyperbolic operators, the Gevrey 4 well-posedness2009
- Author(s)
  西谷達雄
- Organizer
  The 7-th ISSAC Congress
- Place of Presentation
  Imperial College, London (England)
- Year and Date
  2009-07-16
- Data Source
  KAKENHI-PROJECT-19204013
[Presentation] On the Cauchy problem for noneffectively hyperbolic operators, the Gevrey 4 well-posedness2009
- Author(s)
  T. Nishitani
- Organizer
  7-th ISSAC Congress
- Place of Presentation
  Imperial College, London, England
- Year and Date
  2009-07-16
- Data Source
  KAKENHI-PROJECT-19204013
[Presentation] 2次特性点をもつ双曲型作用素とGevreyクラス(特別講演)2008
- Author(s)
  西谷達雄
- Organizer
  日本数学会
- Place of Presentation
  近畿大学
- Year and Date
  2008-03-23
- Data Source
  KAKENHI-PROJECT-19540202
[Presentation] 2次特性点を持つ双曲型作用素とGevreyクラス2008
- Author(s)
  西谷達雄
- Organizer
  2008年度日本数学会年会
- Place of Presentation
  近畿大学(函数方程式論分科会特別講演)
- Year and Date
  2008-03-23
- Data Source
  KAKENHI-PROJECT-19540202
[Presentation] 2 次特性点をもつ双曲型作用素とGevrey クラス2008
- Author(s)
  西谷達雄
- Organizer
  日本数学会2008年度年会(函数方程式論分科会特別講演)
- Place of Presentation
  近畿大学
- Year and Date
  2008-03-23
- Data Source
  KAKENHI-PROJECT-19204013
[Presentation] Hyperbolic operators with double characteristics2008
- Author(s)
  西谷達雄
- Organizer
  The 1^<st> Joint Workshop of Shanghai Jiao Tong University and Osaka University of Mathematical Sciences
- Place of Presentation
  Shanghai (China)
- Year and Date
  2008-12-17
- Data Source
  KAKENHI-PROJECT-19204013
[Presentation] 2次特性点をもつ双曲型作用素とGevreyクラス2008
- Author(s)
  西谷達雄
- Organizer
  日本数学会2008年会関数方程式分科会特別講演
- Place of Presentation
  近畿大学
- Year and Date
  2008-03-23
- Data Source
  KAKENHI-PROJECT-19204013
[Presentation] 2次特性点をもつ双曲型作用素と Gevrey クラス (特別講演)2008
- Author(s)
  西谷達雄
- Organizer
  日本数学会
- Place of Presentation
  近畿大学
- Year and Date
  2008-03-23
- Data Source
  KAKENHI-PROJECT-19540202
[Presentation] On the Cauchy problem for non effectively hyperbolic operators, the Gevrey 5 well posedness2007
- Author(s)
  Nishitani Tatsuo
- Organizer
  Hyperbolic operators and Scattering
- Place of Presentation
  Bordeaux, France
- Year and Date
  2007-05-13
- Data Source
  KAKENHI-PROJECT-19204013
[Presentation] An example of non effectively hyperbollic Cauchy problem not Gevrey well posed for any lower order term2007
- Author(s)
  Nishitani Tatsuo
- Organizer
  Phase Space Analysis of PDEs 2007
- Place of Presentation
  Certosa di Pontignano, Siena, Italy
- Year and Date
  2007-10-12
- Data Source
  KAKENHI-PROJECT-19204013
[Presentation] Weyl-Hormander calculus in the Gevrey classes
- Author(s)
  T.Nishitani
- Organizer
  Global Properties of PDE's on Manifolds
- Place of Presentation
  Cagliari (Italy)
- Year and Date
  2014-09-17 – 2014-09-19
- Invited
- Data Source
  KAKENHI-PROJECT-26400167

1. MABUCHI Toshiki (80116102)

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45. YOTSUTANI Shoji (60128361)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
46. ITO Toshikazu (60110178)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
47. NINOMIYA Hirokazu (90251610)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
48. IWASAKI Nobuhisa (70027374)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
49. NAKAO Mitsuhiro (10037278)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
50. SAKANE Yusuke (00089872)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
51. YAMASAKI Yohei (00093477)

# of Collaborated Projects: 1 results

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52. YAJIMA Kenji (80011758)

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53. MANDAI Takeshi (10181843)

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54. ASHINO Ryuichi (80249490)

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55. FUJOWAR Alcio (30251359)

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56. NARIAKI Minami (10183964)

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57. HIROYUKI Takamura (40241781)

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58. SHIBATA Yoshihiro (50114088)

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59. DATA Etsuro (00107062)

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60. ATEUJI Atushi (00221044)

# of Collaborated Projects: 1 results

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61. KOKUBU Hiroshi (50202057)

# of Collaborated Projects: 1 results

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62. SHIGEKAWA Ichiro (00127234)

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63. FURIHATA Daisuke (80242014)

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64. IOHARA Takao (00294140)

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65. GOTO Ryuji (30252571)

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66. 永友清和 (90172543)

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67. 渡部隆夫 (30201198)

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68. 今野一宏 (10186869)

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69. 小島政利 (90032317)

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70. 和泉澤正隆 (50108445)

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71. 栗林幸男 (30031909)

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72. 松木敏彦 (20157283)

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73. 赤井逸 (70032274)

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74. 熊原啓作 (60029486)

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75. 守本晃 (50239688)

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76. 森藤伸哉 (30273832)

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77. 石井仁司 (09440067)

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78. 小田中紳二 (20324858)

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79. 森岡達史 (80239631)

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80. 加藤圭一 (50224499)

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81. 宮島静雄 (60130340)

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82. 岡沢登 (80120179)

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83. 小松彦三郎 (40011473)

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84. 田村英夫 (30022734)

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85. 猪狩勝寿 (90025487)

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NISHITANI TATSUO 西谷 達雄

NISHITANI Tatsuo 西谷 達雄

西谷 達雄

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Cauchy problem for differential operators with triple effectively hyperbolic characteristicsPrincipal Investigator

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Transversally strictly hyperbolic systemsPrincipal Investigator

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Gevrey strong hyperbolicity and the structure of Hamilton map and flowPrincipal Investigator

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Hyperbolic operators with double characteristics, Hamilton map and Hamilton flowPrincipal Investigator

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Phase Space Analysis of Partial Differential EquationsPrincipal Investigator

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Studies on a new class of hyperbolic systemsPrincipal Investigator

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NISHITANI TATSUO 西谷達雄

NISHITANI Tatsuo 西谷達雄

西谷達雄