TANAKA NAOKI 田中直樹

… Alternative Names

Researcher Number	00207119
Other IDs
Affiliation (Current)	2018 : 静岡大学, 理学部, 教授
Affiliation (based on the past Project Information) *help	2014 – 2017 : 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
Review Section/Research Field	Principal Investigator Basic analysis / Basic analysis / 解析学 Except Principal Investigator Basic analysis / Geometry / Basic analysis / Geometry / Science education
Keywords	Principal Investigator metric-like functional / subtangential condition / quasilinear equation / dissipativity condition / comparison function / semilinear equation / semigroup of operators / integrated semigroup / リプシッツ作用素半群 / semigroup of Lipschitz operators … More Except Principal Investigator 適切性 / リプシッツ作用素半群 / 安定性 / 半線形発展方程式 / 半閉作用素 / inverse problem / Aharonov-Bohm effect / 逆問題 / ベルグマン空間 / 測地線 / スペクトル / 荷重合成作用素 / リーマン多様体 / 軟解 / Hardy空間 / エルゴード定理 / Bergman空間 / 準線形双曲型方程式 / 曲率 / 放物型方程式 / 解析関数空間 / integral solution / 半古典近似 / 概収束 / 線形作用素 / 平衡解 / Lp適切性 / semilinear evolution equations / positive operators / 安定性条件 / 野生的空間 / 自由境界問題 / Riemannian manifolds / Fock型空間 / Comparison Theorem / nilpotent / semigroups of operators / 正則性 / かたちの数理科学 / 半線形方程式 / dissiiativity condition / ベソフ空間 / Stieltjes完全性 / べき零 / 境界距離 / DeBranges空間 / 近似理論 / リプシッツ発展作用素 / Bergman型空間 / stability / トポロジー / magnetic vortex / 積分型作用素 / maximal ergodic functions / nonlinear hyperbolic systems / Favard class / conelike半群 / ソボレフ空間 / グラフのラプラシアン / Aharonov-Bohm efrect / 保測変換 / ねじれ積 / q-距離 / Bebiano-Lemos-Providencia不等式 / 正作用素 / 制約条件 / Geodesic / Cauchy problems / 表面張力 / Hyers-Ulam-Rassias安定性 / Fock型関数空間 / mild solutions / 位相構造 / 作用素不等式 / 最大正則性 / コーシー問題 / Navier-Stokes方程式 / 2相流体 / 比較定理 / Bloch空間 / 作用素半群 / Volterra型積分作用素 / Ergodic theorems / Warped product / 準線形方程式 / scattering by magnetic field / scattering arnplitude / Chernoffの積公式 / 作用素幾何平均 / Lipschitz半群 / リーマン計量 / 変異方程式 / ２相問題 / 熱核 / random walk / 移流拡散方程式系 / boundary distance / Bargmann-Fock空間 / magnetic scattering / heat kernel / 熱力学平衡 / ボルテラ方程式 / コホモロジー / 古田不等式 / ベルグマン・オーリッツ空間 / 数学解析 / Cauchy-Euler型作用素 / 端点最大正則性 / スペクトル逆問題 / デルタ磁場 / 磁場をもつシュレディンガー作用素 / magnetic Scchrodinger operator / 弱連続作用素 / 積公式 / Curvature / 大学院教育 / 発展方程式 / measure preserving transformations / 局所リプシッツ作用素半群 / almost everywhere convergence / Grand Furuta不等式 / 有限差分近似 / べきコンパクト / DeBranges 空間 / 退化準線形双曲型方程式 / 非線形双曲系 / 積分作用素 / 相転移 / チェザロ型積分作用素 / 捩れ積 / 荷重付き合成作用素 / 作用素平均 / 単位的半単純可換Banach環 / quasilinear equation / 消散条件 / 合成作用素 / 酔歩 / q-変形正規作用素 / アハラノフ・ボーム効果 / 多様体 / 非圧縮性粘性流体 / δ-like magnetic field / 非稠密な定義域をもつ作用素 / scattreing amplitude / 変換群 / 非線形境界条件 / point-like magneticfield / かたちの数理科目 / 散乱振幅 / 双曲力学系 / finite difference approximations / semierouos of locally Lipschitz operators / scattering amplitude / Lipschitz作用素半群 / stability condition / 有界正則関数空間 / K理論 / 準線形発展方程式 / Hyers-Ulam安定性 / コンパクト性 / spectre / 最大関数 Less

距離空間における微分方程式の適切性理論の構築－ベクトル空間の枠を超える挑戦－Principal InvestigatorOngoing
- Principal Investigator
  
  田中直樹
- 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] 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 Analysis
  
  Volume : 162 Pages : 91-112
- DOI
  10.1016/j.na.2017.06.013
- 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 Pages : 267-285
- DOI
  10.1016/j.jmaa.2015.10.027
- Open Access / Acknowledgement Compliant / Peer Reviewed
- 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
- Acknowledgement Compliant / Peer Reviewed
- 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
- Open Access / Peer Reviewed
- 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 Pages : 2459-2468
- DOI
  10.1090/s0002-9939-2015-12437-9
- Peer Reviewed / Acknowledgement Compliant
- 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 Pages : 539-566
- DOI
  10.1016/j.jmaa.2014.07.021
- Peer Reviewed / Acknowledgement Compliant
- 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 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 perturbation 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. TMA
  
  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
  
  Math. Nachr
  
  Volume : 285 Pages : 507-527
- DOI
  10.1002/mana.201010084
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540154, 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 Pages : 1-43
- DOI
  10.1007/s11856-011-0130-5
- Peer Reviewed
- Data Source
  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
- Publisher
  Elsevier
- DOI
  10.1016/j.jat.2011.04.002
- ISSN
  00219045
- Year and Date
  2011-04-15
- Language
  English
- 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
- 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
- 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
- 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 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)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540173
[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. (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)
  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] 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] 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] 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

Research Projects

Research Products

Co-Researchers

距離空間における微分方程式の適切性理論の構築－ベクトル空間の枠を超える挑戦－Principal InvestigatorOngoing

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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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Wellposedness of the Cauchy problems for hyperbolic systems with large dataPrincipal Investigator

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TANAKA NAOKI 田中直樹

TANAKA Naoki 田中直樹