TANAKA NAOKI 田中直樹

… Alternative Names

TANAKA Naoki 田中直樹

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Researcher Number	00207119
Other IDs
Affiliation (Current)	2023: 静岡大学, 理学部, 教授
Affiliation (based on the past Project Information) *help	2014 – 2021: 静岡大学, 理学部, 教授 2013 – 2014: 静岡大学, 理学(系)研究科(研究院), 教授 2013: 静岡大学, 大学院・理学研究科, 教授 2006 – 2012: Shizuoka University, Faculty of Science, Professor, 理学部, 教授 2005: 岡山大学, 大学院・自然科学研究科, 助教授 … More 2002 – 2004: 岡山大学, 理学部, 助教授 2001 – 2003: 岡山大学, 大学院・自然科学研究科, 助教授 1999: Faculty of Science, Okayama University, Associate Professor, 理学部, 助教授 1993 – 1999: 岡山大学, 理学部, 助教授 Less
Review Section/Research Field	Principal Investigator Basic analysis / Basic Section 12020:Mathematical analysis-related / Basic analysis / 解析学 Except Principal Investigator Basic analysis / Geometry / Basic analysis / Geometry / Science education
Keywords	Principal Investigator subtangential condition / metric-like functional / dissipativity condition / リプシッツ作用素半群 / quasilinear equation / integrated semigroup / semigroup of operators / comparison function / 安定性条件 / semilinear equation … More / semigroup of Lipschitz operators / 解の初期値に関する連続的依存性 / 変異解析 / 距離空間における勾配流 / regularized semigroup / delay equation / Lipschitz semigroup / monotone operator / 半線形発展方程式 / acoustic boundary condition / mild solution / semilinear evolution equation / fractional power / stability condition / analytic semigroup / evolution equation / 非自励系 / 距離を用いた消散構造 / 距離空間における微分方程式 / 初期値問題に関する近似定理 / 初期値問題に関する適切性定理 / カラテオドリー条件 / 準線形方程式 / 遅れを考慮した非自励な方程式 / 二重非線形発展方程式 / 劣微分作用素理論 / サイズ構造モデル / 定義域が稠密でない作用素 / 関数方程式論 / 関数解析学 / 実関数論 / 解析学 / gradient flow / transition / doubly nonlinearity / quasi-linear equation / WED functional / mutational equation / 適切性 / 積公式 / 変分不等式 / 勾配流 / 準線形作用素 / 単調作用素 / 劣微分作用素 / Kirchhoff 方程式 / 非整数階時間微分を含む発展方程式 / 作用素半群の積公式 / 準線形理論 / 距離による消散条件 / approximation theorem for semigroups of operators / wellposedness in the sense of Hadamard / abstract Cauchy problem / infinitesimal generator / semigroup of lipschitz operators / well-posedness / non-densely defined operator / Wentzell boundary condition / quasilinear evolution equation / Chernoff's product formula / perturbation / Hadamard wellposedness / 作用素半群の近似定理 / 消散条件 / 劣接線条件 / アダマールの意味の適切性 / 発展方程式 / generator / conservation law / stability / Hadamard well-posedness / abstract quasi-linear equation / wave front tracking solution / Riemann problem / Templ type / conservation laws / generation theorem / infinitesimal generators / semigroup of Lipschite operators / 無限小生成作用素 / 保存則系 / 安定性 / Hadamardの意味の適切性 / 抽象的準線形発展方程式 / 非自励な方程式系 / リプシッツ発展作用素 / 退化準線形発展方程式 / Favard class / revel set / weak continuity / connected condition / dissipativity / connectedness condition / evolution operator / discrete semigroup / Zakharov equation / convex functional / growth condition / product formula / Semigroup of Lipschitz operators / Semiliear evolution equation of parabolic type / Fractional step method / Fractional power / Analytic semigroup / Product formula / ボルテラ方程式 / maximal solution / 移流拡散方程式系 / projection method / 近似定理 / 正則半群 / 距離に似た汎関数 / 準線形発展方程式 / qusilinear equation / Carrier equation / semigroup of Lipshitz oprators / stabilitiy condition / Ginzburg-Landau equation / parabolic type / integral solution / non-dense domain / “hyperbolic"type / integrodifferential equation / discrete parameter semigroups / Banach space / integrated semigroups / semigroups … More Except Principal Investigator 適切性 / リプシッツ作用素半群 / 安定性 / 半閉作用素 / 半線形発展方程式 / inverse problem / スペクトル / 逆問題 / Aharonov-Bohm effect / 放物型方程式 / Bergman空間 / 軟解 / Hardy空間 / ベルグマン空間 / 荷重合成作用素 / 解析関数空間 / 準線形双曲型方程式 / 曲率 / 測地線 / リーマン多様体 / エルゴード定理 / 弱連続作用素 / 変異方程式 / リプシッツ発展作用素 / 準線形方程式 / nonlinear hyperbolic systems / dissiiativity condition / mild solutions / Cauchy problems / semierouos of locally Lipschitz operators / semilinear evolution equations / stability condition / finite difference approximations / 作用素平均 / 古田不等式 / Chernoffの積公式 / 非稠密な定義域をもつ作用素 / Stieltjes完全性 / conelike半群 / 作用素不等式 / 退化準線形双曲型方程式 / 準線形発展方程式 / 作用素幾何平均 / Bebiano-Lemos-Providencia不等式 / Grand Furuta不等式 / Hyers-Ulam-Rassias安定性 / 非線形双曲系 / 消散条件 / コーシー問題 / 局所リプシッツ作用素半群 / 安定性条件 / 有限差分近似 / boundary distance / stability / 双曲力学系 / 境界距離 / spectre / nilpotent / heat kernel / random walk / 半古典近似 / べき零 / 熱核 / 酔歩 / scattering arnplitude / δ-like magnetic field / magnetic Scchrodinger operator / Aharonov-Bohm efrect / magnetic vortex / scattering amplitude / magnetic scattering / scattreing amplitude / point-like magneticfield / scattering by magnetic field / 散乱振幅 / デルタ磁場 / アハラノフ・ボーム効果 / 磁場をもつシュレディンガー作用素 / almost everywhere convergence / semigroups of operators / measure preserving transformations / maximal ergodic functions / positive operators / Ergodic theorems / 概収束 / 作用素半群 / 保測変換 / 最大関数 / 正作用素 / Warped product / Comparison Theorem / Geodesic / Curvature / Riemannian manifolds / 捩れ積 / ねじれ積 / 比較定理 / べきコンパクト / 荷重付き合成作用素 / ボルテラ方程式 / 移流拡散方程式系 / 発展方程式 / DeBranges 空間 / Favard class / 合成作用素 / Volterra型積分作用素 / Fock型空間 / DeBranges空間 / quasilinear equation / コンパクト性 / 平衡解 / 熱力学平衡 / ２相問題 / ベソフ空間 / 端点最大正則性 / 表面張力 / Lp適切性 / 2相流体 / 非圧縮性粘性流体 / 相転移 / 最大正則性 / 自由境界問題 / Navier-Stokes方程式 / 数学解析 / 非線形境界条件 / Lipschitz半群 / Lipschitz作用素半群 / 積公式 / 近似理論 / 正則性 / 半線形方程式 / 制約条件 / Hyers-Ulam安定性 / Cauchy-Euler型作用素 / Bargmann-Fock空間 / integral solution / Bergman型空間 / チェザロ型積分作用素 / Fock型関数空間 / 積分型作用素 / 単位的半単純可換Banach環 / ソボレフ空間 / 積分作用素 / 有界正則関数空間 / q-距離 / ベルグマン・オーリッツ空間 / Bloch空間 / q-変形正規作用素 / かたちの数理科目 / トポロジー / 野生的空間 / 大学院教育 / かたちの数理科学 / スペクトル逆問題 / グラフのラプラシアン / 位相構造 / 線形作用素 / リーマン計量 / 変換群 / K理論 / コホモロジー / 多様体 Less

微分方程式の適切性理論－ベクトル空間の枠を超えた展開－Principal Investigator
- Principal Investigator
  
  田中直樹
- Project Period (FY)
  2020 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Shizuoka University
Well-posedness for differential equations in metric spacesPrincipal Investigator
- Principal Investigator
  
  Tanaka Naoki
- Project Period (FY)
  2016 – 2019
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Shizuoka University
Well-posedness for partial differential equations with time-dependent constraints
- Principal Investigator
  
  MATSUMOTO Toshitaka
- Project Period (FY)
  2014 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Shizuoka University
  Hiroshima University
Well-posedness for nonautonomous differential systems with dissipativity structure described by metric-like functionalsPrincipal Investigator
- Principal Investigator
  
  TANAKA Naoki
- Project Period (FY)
  2013 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Shizuoka University
Free boundary problems for flows with phase transitions consistent with thermodynamics based on maximal regularity theorem
- Principal Investigator
  
  Shimizu Senjo
- Project Period (FY)
  2012 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Kyoto University
  Shizuoka University
Study on the well-posedness of hyperbolic equation with memory
- Principal Investigator
  
  OKA Hirokazu
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Ibaraki University
Studies on well-posedness for parabolic equations with nonlinear constraints
- Principal Investigator
  
  MATSUMOTO TOSHITAKA
- Project Period (FY)
  2011 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Hiroshima University
Solvability of differential equations from the point of view of the continuous dependence of solutions on their initial dataPrincipal Investigator
- Principal Investigator
  
  TANAKA Naoki
- Project Period (FY)
  2010 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Shizuoka University
Functional analytic research of hyperbolic equations with memory
- Principal Investigator
  
  OKA Hirokazu
- Project Period (FY)
  2008 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Ibaraki University
Studies on well-posedness for semilinear evolution equations with constraints and their applications
- Principal Investigator
  
  MATSUMOTO Toshitaka
- Project Period (FY)
  2008 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Hiroshima University
Wellposedness of differential equations whose solutions depend Lipschitz continuously on their initial dataPrincipal Investigator
- Principal Investigator
  
  TANAKA Naoki
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Shizuoka University
新領域科目「かたちの数理科学」と博士課程後期における数理科学教育
- Principal Investigator
  
  小山晃
- Project Period (FY)
  2007 – 2008
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Science education
- Research Institution
  Shizuoka University
Studies of solvability for hyperbolic Volterra equations
- Principal Investigator
  
  OKA Hirokazu
- Project Period (FY)
  2005 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Ibaraki University
Relations of geometric structure of manifolds and graphs, spectre, asymptotic analysis and their applications
- Principal Investigator
  
  KATSUDA Atsushi
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  OKAYAMA UNIVERSITY
Wellposedness of the Cauchy problems for hyperbolic systems with large dataPrincipal Investigator
- Principal Investigator
  
  TANAKA Naoki
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Shizuoka University
  Okayama University
Spectra and Geometric structure of manifolds and graph
- Principal Investigator
  
  KATSUDA Atsushi
- Project Period (FY)
  2002 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  OKAYAMA UNIVERSITY
Well-posedness and approximation of Cauchy problems for hyperbolic systemsPrincipal Investigator
- Principal Investigator
  
  TANAKA Naoki
- Project Period (FY)
  2002 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  OKAYAMA UNIVERSITY
Scattering by magnetic fields and Aharonov-Bohm effect
- Principal Investigator
  
  TAMURA Hideo
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  OKAYAMA UNIVERSITY
Synthetic Study for Real Analysis and its Applications
- Principal Investigator
  
  SATO Ryotaro
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  OKAYAMA UNIVERSITY
CURVATURE AND STRUCURE OF SPACES
- Principal Investigator
  
  SAKAI Takashi
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  OKAYAMA UNIVERSITY
多様体の幾何構造と位相
- Principal Investigator
  
  KATSUDA Atsushi
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Okayama University
幾何構造と位相構造
- Principal Investigator
  
  酒井隆
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Okayama University
線形発展方程式の研究Principal Investigator
- Principal Investigator
  
  田中直樹
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  解析学
- Research Institution
  Okayama University
多様体とコホモロジー論
- Principal Investigator
  
  SHIMAKAWA Kazuhisa
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Okayama University

[Journal Article] Evolution equations governed by quasilinear operators satisfying Caratheodory’s conditions2022
- Author(s)
  Matsumoto Toshitaka, Oka Hirokazu, Tanaka Naoki
- Journal Title
  
  Dissertationes Mathematicae
  
  Volume: 571 Pages: 1-70
- DOI
  10.4064/dm836-10-2021
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03677, KAKENHI-PROJECT-20K03696
[Journal Article] Mutational analysis with transitions whose domains vary in state and that are not necessarily Lipschitz continuous in time2021
- Author(s)
  Takami Kazuki、Tanaka Naoki
- Journal Title
  
  Journal of Mathematical Analysis and Applications
  
  Volume: 498 Issue: 1 Pages: 124967-124967
- DOI
  10.1016/j.jmaa.2021.124967
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03677
[Journal Article] Well‐posedness for fully nonlinear functional differential equations2021
- Author(s)
  Tanaka Naoki
- Journal Title
  
  Mathematische Nachrichten
  
  Volume: 294 Issue: 8 Pages: 1595-1628
- DOI
  10.1002/mana.201800498
- NAID
  120007120066
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03677
[Journal Article] Approximation of abstract Cauchy problems for dissipative operators with respect to metric-like functionals2019
- Author(s)
  Naoki Tanaka
- Journal Title
  
  Journal of Mathematical Analysis and Applications
  
  Volume: 480 Issue: 2 Pages: 123406-123406
- DOI
  10.1016/j.jmaa.2019.123406
- NAID
  120006729387
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-16K05199
[Journal Article] Evolution variational inequalities with growth conditions in metric spaces2019
- Author(s)
  Naoki Tanaka
- Journal Title
  
  Studia Mathematica
  
  Volume: 248 Issue: 2 Pages: 147-169
- DOI
  10.4064/sm171224-23-5
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05199
[Journal Article] Well-posedness for mutational equations under a general type of dissipativity conditions2018
- Author(s)
  Yoshikazu Kobayashi and Naoki Tanaka
- Journal Title
  
  Israel Journal of Mathematics
  
  Volume: 印刷中 Issue: 1 Pages: 1-33
- DOI
  10.1007/s11856-018-1660-x
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-16K05212, KAKENHI-PROJECT-17K05294, KAKENHI-PROJECT-16K05199
[Journal Article] Well-posedness and flow invariance for semilinear functional differential equations governed by non-densely defined operators2017
- Author(s)
  Hiroki Sano; Naoki Tanaka
- Journal Title
  
  Differential Integral Equations
  
  Volume: 30 Pages: 695-734
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05199
[Journal Article] Abstract Cauchy problems for quasilinear operators whose domains are not necessarily dense or constant2017
- Author(s)
  Toshitaka Matsumoto; Naoki Tanaka
- Journal Title
  
  Nonlinear Anal.
  
  Volume: 162 Pages: 91-112
- DOI
  10.1016/j.na.2017.06.013
- NAID
  120006623752
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05199, KAKENHI-PROJECT-16K05212, KAKENHI-PROJECT-17K05294
[Journal Article] Abstract Cauchy problem for weakly continuous operators2016
- Author(s)
  Toshitaka Matsumoto and Naoki Tanaka
- Journal Title
  
  J. Math. Anal. Appl.
  
  Volume: 435 Issue: 1 Pages: 267-285
- DOI
  10.1016/j.jmaa.2015.10.027
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-25400134, KAKENHI-PROJECT-25400145, KAKENHI-PROJECT-24340025, KAKENHI-PROJECT-26400138
[Journal Article] Nonautonomous differential equations and Lipschitz evolution operators in Banach spaces2015
- Author(s)
  Yoshikazu Kobayashi and Naoki Tanaka
- Journal Title
  
  Hiroshima Math. J.
  
  Volume: 45
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25400134
[Journal Article] Nonautonomous differential equations and Lipschitz evolutionoperators in Banach spaces2015
- Author(s)
  Y. Kobayashi, N. Tanaka and Y.Tomizawa
- Journal Title
  
  Hiroshima Math. J.
  
  Volume: 45 Pages: 267-307
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-26400138
[Journal Article] Flow invariance for differential delay equations2015
- Author(s)
  N. Tanaka
- Journal Title
  
  Proc. Amer. Math. Soc.
  
  Volume: 143 Issue: 6 Pages: 2459-2468
- DOI
  10.1090/s0002-9939-2015-12437-9
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540158, KAKENHI-PROJECT-25400134
[Journal Article] The abstract Cauchy problem for dissipative operators with respect to metric-like functionals2015
- Author(s)
  N. Tanaka
- Journal Title
  
  J. Math. Anal. Appl.
  
  Volume: 421 Issue: 1 Pages: 539-566
- DOI
  10.1016/j.jmaa.2014.07.021
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540158, KAKENHI-PROJECT-25400134
[Journal Article] Approximation of semigroups of Lipschitz operators2013
- Author(s)
  Yoshikazu Kobayashi, Naoki Tanaka
- Journal Title
  
  J. Math. Anal. Appl
  
  Volume: 397 Issue: 2 Pages: 529-536
- DOI
  10.1016/j.jmaa.2012.07.069
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540183, KAKENHI-PROJECT-23540206, KAKENHI-PROJECT-24340025
[Journal Article] Nonlinear perturbations of a class of holomorphic semigroups of growth order α by comparison theorems for Volterra equations2013
- Author(s)
  Toshitaka Matsumoto, Naoki Tanaka
- Journal Title
  
  Nonlinear Anal
  
  Volume: 84 Pages: 146-175
- DOI
  10.1016/j.na.2013.02.016
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540183, KAKENHI-PROJECT-23540206, KAKENHI-PROJECT-24540158, KAKENHI-PROJECT-25400145
[Journal Article] A product formula for semigroups of Lipschitz operators associated with abstract quasilinear evolution equations2012
- Author(s)
  田中直樹
- Journal Title
  
  Math. Nachr
  
  Volume: 285 Pages: 507-527
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540154
[Journal Article] A product formula for semigroups of Lipschitz operators associated with abstract quasilinear evolution equations2012
- Author(s)
  Naoki Tanaka
- Journal Title
  
  Mathematische Nachrichten
  
  Volume: 285 Issue: 4 Pages: 507-527
- DOI
  10.1002/mana.201010084
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540154, KAKENHI-PROJECT-22540183
[Journal Article] A product formula for semigroups of Lipschitz operators associated with semilinear evolution equations of parabolic type2011
- Author(s)
  Toshitaka Matsumoto, Naoki Tanaka
- Journal Title
  
  J. Approx. Theory
  
  Volume: 163 Issue: 9 Pages: 1217-1237
- DOI
  10.1016/j.jat.2011.04.002
- NAID
  120003368391
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540183
[Journal Article] A viability theorem of stochastic semilinear evolution equations2011
- Author(s)
  田中直樹
- Journal Title
  
  Israel Journal of Mathematics
  
  Volume: 186 Pages: 1-43
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540154
[Journal Article] A viability theorem of stochastic semilinear evolution equation2011
- Author(s)
  Naoki Tanaka
- Journal Title
  
  Israel J. Math
  
  Volume: 186 Issue: 1 Pages: 1-43
- DOI
  10.1007/s11856-011-0130-5
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540183
[Journal Article] Well-posedness for the complex Ginzburg-Landau equations2010
- Author(s)
  T.Matsumoto, N.Tanaka
- Journal Title
  
  GAKUTO Internat.Ser.Math.Sci.Appl. 32
  
  Pages: 429-442
- Data Source
  KAKENHI-PROJECT-20540173
[Journal Article] A Lipschitz semigroup approach to two-dimensional Navier-Stokes equations2010
- Author(s)
  Y. Kobayashi, N. Tanaka
- Journal Title
  
  Nonlinear Anal. TMA 72
  
  Pages: 1820-1828
- NAID
  120001820434
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540177
[Journal Article] Well-posedness for the complex Ginzburg-Landau equations2010
- Author(s)
  T. Matsumoto, N. Tanaka
- Journal Title
  
  GAKUTO Internat. Ser. Math. Sci. Appl 32
  
  Pages: 427-440
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540177
[Journal Article] A Lipschitz semigroup approach to two-dimensional Navier-Stokes equations2010
- Author(s)
  Y.Kobayashi, N.Tanaka
- Journal Title
  
  Nonlinear Analysis T.M.A VOL.72
  
  Pages: 1820-1828
- NAID
  120001820434
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540173
[Journal Article] A Lipschitz semigroup approach to two-dimensional Navier-Stokes equations2010
- Author(s)
  Y.Kobayashi, N.Tanaka
- Journal Title
  
  Nonlinear Anal.TMA 72
  
  Pages: 1820-1828
- NAID
  120001820434
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540173
[Journal Article] Global solvability for abstract semilinear evolution equations2010
- Author(s)
  岡裕和、田中直樹
- Journal Title
  
  Math.Nachr. 283巻
  
  Pages: 1171-1193
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540154
[Journal Article] Global solvability for abstract semilinear evolution equations2010
- Author(s)
  岡裕和, 田中直樹
- Journal Title
  
  Math. Nachr.
  
  Volume: 283 Pages: 1171-1193
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540154
[Journal Article] Global solvability for abstract semilinear evolution equations2010
- Author(s)
  Hirokazu Oka, Naoki Tanaka
- Journal Title
  
  Math. Nachr
  
  Volume: 283 Issue: 8 Pages: 1171-1193
- DOI
  10.1002/mana.200710071
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540183
[Journal Article] Well-posedness for the complex Ginzburg-Landau equations2010
- Author(s)
  T.Matsumoto, N.Tanaka
- Journal Title
  
  GAKUTO Internat.Ser.Math.Sci.Appl.
  
  Volume: 32 Pages: 429-442
- Data Source
  KAKENHI-PROJECT-20540173
[Journal Article] Lipschitz semigroup approach to drift-diffusion systems2009
- Author(s)
  T.Matsumoto, N.Tanaka
- Journal Title
  
  RIMS Kokyuroku Bessatsu B15
  
  Pages: 147-177
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540173
[Journal Article] Lipschitz semigroup approach to drift-diffusion systems2009
- Author(s)
  T. Matsumoto, N. Tanaka
- Journal Title
  
  RIMS Kokyuroku Bessatsu B15
  
  Pages: 147-177
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540177
[Journal Article] Lipschitz semigroup approach to drift-diffusion systems2009
- Author(s)
  T.Matsumoto, N.Tanaka
- Journal Title
  
  RIMS Kokyuroku Bessatsu VOL.B15
  
  Pages: 147-177
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540173
[Journal Article] Semigroups of locally Lipschitz operators associated with semilinear evolution equations of parabolic type2008
- Author(s)
  T. Matsumoto, N. Tanaka
- Journal Title
  
  Nonlinear Anal. TMA 69
  
  Pages: 4025-4054
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540177
[Journal Article] An application of semigroups of locally Lipschitz operators to Carrier equations with acoustic boundary conditions2008
- Author(s)
  Y. Kobayashi, N. Tanaka
- Journal Title
  
  J. Math. Anal. Appl 338
  
  Pages: 852-872
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540177
[Journal Article] Locally Lipschitz continuous integrated semigroups2005
- Author(s)
  Tanaka, Naoki
- Journal Title
  
  Studia Math. 167
  
  Pages: 1-16
- Data Source
  KAKENHI-PROJECT-16540153
[Journal Article] Spaces determined by point-countable covers, and singly ・・・2005
- Author(s)
  Y.Tanaka, I.Yoshioka
- Journal Title
  
  Questions Answers Gen.Topology 23
  
  Pages: 35-54
- Data Source
  KAKENHI-PROJECT-16540068
[Journal Article] Locally Lipschitz continuous integrated semigroups2005
- Author(s)
  N.Tanaka
- Journal Title
  
  Studia Math. 167
  
  Pages: 1-16
- Data Source
  KAKENHI-PROJECT-16540153
[Journal Article] Locally Lipschitz continuous integrated semigroups.2005
- Author(s)
  Naoki Tanaka
- Journal Title
  
  Studia Math. 167・1
  
  Pages: 1-16
- Data Source
  KAKENHI-PROJECT-17540143
[Journal Article] Locally Lipschitz continuous integrated semigroups2005
- Author(s)
  Naoki Tanaka
- Journal Title
  
  Studia Math. 167
  
  Pages: 1-16
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540153
[Journal Article] Locally Lipshitz continuous integrated semigroups2005
- Author(s)
  N.Tanaka
- Journal Title
  
  Studia Math. 167
  
  Pages: 1-16
- Data Source
  KAKENHI-PROJECT-16540068
[Journal Article] Nonautonomous abstract Cauchy problem for strongly measurable families2004
- Author(s)
  N.Tanaka
- Journal Title
  
  Math. Nachr. 274/275
  
  Pages: 130-153
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540068
[Journal Article] Nonautonomous abstract Cauchy problem for strongly measurable families2004
- Author(s)
  N.Tanaka
- Journal Title
  
  Math.Nachr. 274/275
  
  Pages: 130-153
- Data Source
  KAKENHI-PROJECT-16540068
[Journal Article] Nonautonomous abstract Cauchy problems for strongly measurable families2004
- Author(s)
  N.Tanaka
- Journal Title
  
  Math.Nachr. 274/275
  
  Pages: 130-153
- Data Source
  KAKENHI-PROJECT-16540153
[Journal Article] Convergence and approximation of semigroups of Lipshitz operators
- Author(s)
  Y.Kobayashi, N.Tanaka
- Journal Title
  
  Nonlinear Anal (in press)
- Data Source
  KAKENHI-PROJECT-16540153
[Journal Article] Product formula for semigroups of Lipschitz operators associated with semilinear evolution equations of parabolic type
- Author(s)
  Toshitaka Matsumoto, Naoki Tanaka
- Journal Title
  
  J.Approx.Theory (印刷中)
- NAID
  120003368391
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540173
[Journal Article] Approximation of abstract quasilinear evolution equations in the sense of Hadamard
- Author(s)
  Naoki Tanaka
- Journal Title
  
  Taiwanese J. Math. (印刷中)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540153
[Journal Article] Approximation of abstract quasilinear evolution equations in the sense of Hadamard
- Author(s)
  Tanaka, Naoki
- Journal Title
  
  Taiwanese J. Math. (In press)
- Data Source
  KAKENHI-PROJECT-16540153
[Journal Article] Approximation of abstract quasilinear evolution equations in the sense of Hadamard
- Author(s)
  Naoki Tanaka
- Journal Title
  
  Taiwanese J. Math. in press
- Data Source
  KAKENHI-PROJECT-17540143
[Journal Article] Approximation of abstract quasilinear evolution equations in the sense of Hadamard
- Author(s)
  Naoki Tanaka
- Journal Title
  
  Taiwanese J. Math. (in press)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540153
[Presentation] Gradient flow theory for time-dependent energies and applications to nonlinear PDEs2022
- Author(s)
  Akagi Goro, Tanaka Naoki
- Organizer
  日本数学会　実函数論分科会
- Data Source
  KAKENHI-PROJECT-20K03677
[Presentation] Caratheodory条件を満たす準線形作用素に支配される発展方程式に対する適切性と近似可解性について2020
- Author(s)
  松本敏隆、岡裕和、田中直樹
- Organizer
  日本数学会　実函数論分科会
- Data Source
  KAKENHI-PROJECT-20K03677
[Presentation] An approximation theorem of Lax type for evolution operators of Lipschitz operators in a metric space2019
- Author(s)
  Yoshikazu Kobayashi, Naoki Tanaka
- Organizer
  International Conference on Optimization: Techniques and Applications
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05199
[Presentation] 距離空間における作用素半群と微分方程式2018
- Author(s)
  田中直樹
- Organizer
  日本数学会年会企画特別講演
- Invited
- Data Source
  KAKENHI-PROJECT-16K05199
[Presentation] Remarks on semigroups of Lipschitz operators in a metric space2018
- Author(s)
  Yoshikazu Kobayashi, Naoki Tanaka
- Organizer
  The 6th Asian Conference on Nonlinear Analysis and optimization
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05199
[Presentation] Lipschitz semigroups and mutational equations in metric spaces2018
- Author(s)
  Yoshikazu Kobayashi, Naoki Tanaka
- Organizer
  The Role of Metrics in the Theory of Partial Differential Equations
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05199
[Presentation] 半線形関数微分方程式に対する適切性とその応用2017
- Author(s)
  佐野弘貴, 田中直樹
- Organizer
  日本数学会年会
- Place of Presentation
  首都大学東京南大沢キャンパス (東京都八王子市)
- Data Source
  KAKENHI-PROJECT-16K05199
[Presentation] Evolution problems in metric spaces and dissipativity conditions2016
- Author(s)
  Y. Kobayashi and N. Tanaka
- Organizer
  The fifth Asian conference on Nonlinear Analysis and Optimization
- Place of Presentation
  Toki Messe (新潟県新潟市)
- Year and Date
  2016-08-01
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400138
[Presentation] Well-posedness for gradient flows in complete metric spaces2016
- Author(s)
  Naoki Tanaka
- Organizer
  Researches on isometries from various viewpoints, RIMS Workshop
- Place of Presentation
  Research Institute for Mathematical Sciences, Kyoto University (Kyoto)
- Data Source
  KAKENHI-PROJECT-16K05199
[Presentation] Evolution problems in metric spaces and dissipativity conditions2016
- Author(s)
  Yoshikazu Kobayashi, Naoki Tanaka
- Organizer
  The fifth Asian conference on Nonlinear Analysis and Optimization(NAO-Asia 2016)
- Place of Presentation
  Toki Messe, Niigata Convention Center (Niigata)
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05199
[Presentation] サイズ構造モデルへの準線形理論的接近法2016
- Author(s)
  松本敏隆，田中直樹
- Organizer
  日本数学会
- Place of Presentation
  筑波大学(茨城県つくば市）
- Year and Date
  2016-03-16
- Data Source
  KAKENHI-PROJECT-26400138
[Presentation] Lipschitz Evolution Operators2015
- Author(s)
  Y. Kobayashi, N. Tanaka and Y. Tomizawa
- Organizer
  VII Symposium on Nonlinear Analysis
- Place of Presentation
  Nicolaus Copernicus University, Torun (ポーランド)
- Year and Date
  2015-09-15
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400138
[Presentation] 弱連続作用素に対する抽象的Cauchy問題について2015
- Author(s)
  松本敏隆, 田中直樹
- Organizer
  ポテンシャル論セミナー
- Place of Presentation
  名城大学（愛知県名古屋市）
- Year and Date
  2015-12-18
- Invited
- Data Source
  KAKENHI-PROJECT-26400138
[Presentation] Mutational equation に対する適切性定理について2015
- Author(s)
  田中直樹
- Organizer
  第41回発展方程式研究会
- Place of Presentation
  日本女子大学 (東京)
- Year and Date
  2015-12-25
- Data Source
  KAKENHI-PROJECT-25400134
[Presentation] Mutational equation に対する適切性定理について2015
- Author(s)
  小林良和, 田中直樹
- Organizer
  第41回発展方程式研究会
- Place of Presentation
  日本女子大学（東京都文京区）
- Year and Date
  2015-12-25
- Data Source
  KAKENHI-PROJECT-26400138
[Presentation] 弱連続作用素に対する抽象的Cauchy問題2015
- Author(s)
  松本敏隆, 田中直樹
- Organizer
  第13回浜松偏微分方程式研究集会
- Place of Presentation
  静岡大学（静岡県浜松市）
- Year and Date
  2015-12-22
- Invited
- Data Source
  KAKENHI-PROJECT-26400138
[Presentation] Abstract Cauchy problem for weakly continuous operators2015
- Author(s)
  松本敏隆, 田中直樹
- Organizer
  第616回『応用解析』研究会
- Place of Presentation
  早稲田大学(東京都新宿区）
- Year and Date
  2015-12-05
- Invited
- Data Source
  KAKENHI-PROJECT-26400138
[Presentation] Well-posedness for semilinear functional differential equations2014
- Author(s)
  佐野弘貴, 田中直樹
- Organizer
  第４０回発展方程式研究会
- Place of Presentation
  日本女子大学目白キャンパス（東京都）
- Year and Date
  2014-12-25
- Data Source
  KAKENHI-PROJECT-25400134
[Presentation] Well-posedness for semilinear functional differential equations2014
- Author(s)
  佐野弘貴, 田中直樹
- Organizer
  第４０回発展方程式研究会
- Place of Presentation
  日本女子大学目白キャンパス
- Year and Date
  2014-12-25
- Data Source
  KAKENHI-PROJECT-24540158
[Presentation] 弱連続作用素に対する抽象的Cauchy問題について2014
- Author(s)
  松本敏隆, 田中直樹
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  広島大学東広島キャンパス（広島県）
- Year and Date
  2014-09-28
- Data Source
  KAKENHI-PROJECT-25400134
[Presentation] 弱連続作用素に対する抽象的Cauchy問題について2014
- Author(s)
  松本敏隆, 田中直樹
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  広島大学東広島キャンパス
- Year and Date
  2014-09-28
- Data Source
  KAKENHI-PROJECT-24540158
[Presentation] The abstract Cauchy problem for dissipative operators with respect to metric-like functionals2013
- Author(s)
  田中直樹
- Organizer
  第39回発展方程式研究会
- Place of Presentation
  日本女子大学
- Data Source
  KAKENHI-PROJECT-24540158
[Presentation] 遅れを伴った発展方程式の適切性2013
- Author(s)
  佐野弘貴，田中直樹
- Organizer
  第39回発展方程式研究会
- Place of Presentation
  日本女子大学
- Data Source
  KAKENHI-PROJECT-24540158
[Presentation] 遅れを伴った発展方程式の適切性2013
- Author(s)
  佐野弘貴，田中直樹
- Organizer
  第39回発展方程式研究会
- Place of Presentation
  日本女子大学目白キャンパス（東京都）
- Data Source
  KAKENHI-PROJECT-25400134
[Presentation] Banach空間上のLipschitz発展作用素2013
- Author(s)
  冨澤佑季乃, 小林良和, 田中直樹
- Organizer
  日本数学会
- Place of Presentation
  京都大学(京都府)
- Data Source
  KAKENHI-PROJECT-23540206
[Presentation] The abstract Cauchy problem for dissipative operators with respect to metric-like functionals2013
- Author(s)
  田中直樹
- Organizer
  第39回発展方程式研究会
- Place of Presentation
  日本女子大学目白キャンパス（東京都）
- Data Source
  KAKENHI-PROJECT-25400134
[Presentation] Nonautonomous differential equations and Lipschitz evolution operators in Banach spaces2012
- Author(s)
  Y. Tomizawa, Y. Kobayashi and N. Tanaka
- Organizer
  International Conference on the Theory, Methods and Applications of Nonlinear Equations
- Place of Presentation
  Texas A&M University(アメリカ)
- Data Source
  KAKENHI-PROJECT-23540206
[Presentation] 増大度αの解析的半群の非線形摂動2012
- Author(s)
  松本敏隆, 田中直樹
- Organizer
  日本数学会
- Place of Presentation
  東京理科大学(東京都)
- Year and Date
  2012-03-28
- Data Source
  KAKENHI-PROJECT-23540206
[Presentation] Unique solutions to nonautonomous differential equation in Banach spaces2012
- Author(s)
  冨澤佑季乃, 小林良和, 田中直樹
- Organizer
  日本数学会
- Place of Presentation
  九州大学(福岡県)
- Data Source
  KAKENHI-PROJECT-23540206
[Presentation] Global existence of unique solutions to nonautonomous differential equation in Banach spaces2012
- Author(s)
  Y. Tomizawa, Y. Kobayashi and N. Tanaka
- Organizer
  Conference on Evolution Equations, Related Topics and Applications
- Place of Presentation
  早稲田大学(東京都)
- Year and Date
  2012-03-19
- Data Source
  KAKENHI-PROJECT-23540206
[Presentation] 増大度αの解析的半群の非線形摂動2012
- Author(s)
  松本敏隆、田中直樹
- Organizer
  日本数学会
- Place of Presentation
  東京理科大学(東京都）
- Data Source
  KAKENHI-PROJECT-23540206
[Presentation] Global existence of unique solutions to nonautonomous differential equations in Banach spaces2012
- Author(s)
  Y. Tomizawa, Y. Kobayashi and N. Tanaka
- Organizer
  CONFERENCE oN Evolution Equations, Related Topics and Applications
- Place of Presentation
  早稲田大学(東京都）
- Data Source
  KAKENHI-PROJECT-23540206
[Presentation] リプシッツ作用素半群の近似定理2011
- Author(s)
  小林良和, 田中直樹
- Organizer
  日本数学会
- Place of Presentation
  早稲田大学(東京都新宿区)
- Year and Date
  2011-03-21
- Data Source
  KAKENHI-PROJECT-20540173
[Presentation] リプシッツ作用素半群の近似定理2011
- Author(s)
  田中直樹
- Organizer
  日本数学会年会
- Place of Presentation
  早稲田大学 (東京都)
- Year and Date
  2011-03-21
- Data Source
  KAKENHI-PROJECT-22540183
[Presentation] リプシッツ作用素半群の近似定理2011
- Author(s)
  田中直樹
- Organizer
  日本数学会年会
- Place of Presentation
  早稲田大学(東京都)
- Year and Date
  2011-03-21
- Data Source
  KAKENHI-PROJECT-22540183
[Presentation] 半線形放物型方程式に付随するリプシッツ作用素半群に対する積公式2010
- Author(s)
  松本敏隆, 田中直樹
- Organizer
  日本数学会
- Place of Presentation
  名古屋大学(名古屋市)
- Year and Date
  2010-09-25
- Data Source
  KAKENHI-PROJECT-20540173
[Presentation] 複素Ginzburg-Landau方程式のL^p適切性2009
- Author(s)
  松本敏隆, 田中直樹
- Organizer
  日本数学会
- Place of Presentation
  大阪大学(豊中市)
- Year and Date
  2009-09-25
- Data Source
  KAKENHI-PROJECT-20540173
[Presentation] 複素 Ginzburg-Landau 方程式のL^p適切性2009
- Author(s)
  松本敏隆, 田中直樹
- Organizer
  日本数学会
- Place of Presentation
  大阪大学(大阪府豊中市)
- Year and Date
  2009-09-25
- Data Source
  KAKENHI-PROJECT-20540173
[Presentation] リプシッツ作用素半群入門(解が初期値にリプシッツ連続的に依存する微分方程式系への応用を目指して)2008
- Author(s)
  田中直樹
- Organizer
  第30回発展方程式若手セミナー
- Place of Presentation
  山梨
- Year and Date
  2008-09-02
- Data Source
  KAKENHI-PROJECT-19540177
[Presentation] Drift-diffusion方程式へのリプシッツ作用素半群論的接近法2008
- Author(s)
  松本敏隆, 田中直樹
- Organizer
  日本数学会
- Place of Presentation
  東京工業大学(東京都目黒区)
- Year and Date
  2008-09-27
- Data Source
  KAKENHI-PROJECT-20540173
[Presentation] Local semigroup of locally Lipschitz operatorsの生成定理2008
- Author(s)
  田中直樹
- Organizer
  日本数学会年会
- Place of Presentation
  近畿大学
- Year and Date
  2008-03-25
- Data Source
  KAKENHI-PROJECT-19540177
[Presentation] リプシッツ作用素半群入門-解が初期値にリプシッツ連続的に依存する微分方程式系への応用を目指して-2008
- Author(s)
  田中,直樹
- Organizer
  第30回発展方程式若手セミナー
- Place of Presentation
  春日居びゅーほてる(山梨県笛吹市)
- Year and Date
  2008-09-02
- Data Source
  KAKENHI-PROJECT-20540154
[Presentation] リプシッツ作用素半群入門-解か初期値にリプシッツ連続的に依存する微分方程式系への応用を目指して-2008
- Author(s)
  田中直樹
- Organizer
  第30回発展方程式若手セミナー
- Place of Presentation
  春日居びゅーほてる(山梨県笛吹市)
- Year and Date
  2008-09-02
- Data Source
  KAKENHI-PROJECT-19540177
[Presentation] Drift-diffusion方程式へのリプシッツ作用素半群論的接近法2008
- Author(s)
  松本敏隆, 田中直樹
- Organizer
  日本数学会 2008年度総合分科会
- Place of Presentation
  東京都目黒区
- Year and Date
  2008-09-27
- Data Source
  KAKENHI-PROJECT-20540173
[Presentation] Local semigroup of locally Lipschitz operatorsの生成定理2008
- Author(s)
  田中直樹
- Organizer
  日本数学会年会
- Place of Presentation
  近畿大学
- Year and Date
  2008-03-25
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540143
[Presentation] Naoki Tanaka, A generation theorem of local semigroups of locally Lipschitz operators2008
- Author(s)
  Naoki Tanaka
- Organizer
  Spring Mathematical Society of Japan meeting
- Place of Presentation
  Kinki University
- Year and Date
  2008-03-25
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540143
[Presentation] 解が初期値にリプシッツ連続的に依存する微分方程式系に対する適切性定理2007
- Author(s)
  田中直樹
- Organizer
  第46回実函数論・函数解析学合同シンポジウム
- Place of Presentation
  九州大学
- Year and Date
  2007-08-07
- Data Source
  KAKENHI-PROJECT-19540177
[Presentation] 解が初期値にリプシッツ連続的に依存する微分方程式系に関する適切性定理2007
- Author(s)
  田中, 直樹
- Organizer
  実函数論・函数解析学合同シンポジウム
- Place of Presentation
  九州大学
- Data Source
  KAKENHI-PROJECT-19540177
[Presentation] 局所リプシッツ作用素半群の生成定理2006
- Author(s)
  田中直樹
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  大阪市立大学
- Year and Date
  2006-09-22
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540143
[Presentation] A generation theorem of semigroups of locally Lipschitz operators2006
- Author(s)
  Naoki Tanaka
- Organizer
  Autumn Mathematical Society of Japan meeting
- Place of Presentation
  Osaka City University
- Year and Date
  2006-09-22
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540143
[Presentation] 弱連続作用素に対する抽象的Cauchy問題について
- Author(s)
  松本敏隆、田中直樹
- Organizer
  日本数学会
- Place of Presentation
  広島大学
- Year and Date
  2014-09-25 – 2014-09-28
- Data Source
  KAKENHI-PROJECT-26400138

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TANAKA NAOKI 田中 直樹

TANAKA Naoki 田中 直樹

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微分方程式の適切性理論－ベクトル空間の枠を超えた展開－Principal Investigator

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Well-posedness for differential equations in metric spacesPrincipal Investigator

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Well-posedness for nonautonomous differential systems with dissipativity structure described by metric-like functionalsPrincipal Investigator

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Solvability of differential equations from the point of view of the continuous dependence of solutions on their initial dataPrincipal Investigator

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Wellposedness of differential equations whose solutions depend Lipschitz continuously on their initial dataPrincipal Investigator

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TANAKA NAOKI 田中直樹

TANAKA Naoki 田中直樹