Fujita Yasuhiro 藤田安啓

… Alternative Names

Researcher Number	10209067
Affiliation (Current)	2022: 富山大学, 学術研究部理学系, 教授
Affiliation (based on the past Project Information) *help	2019 – 2021: 富山大学, 学術研究部理学系, 教授 2014 – 2018: 富山大学, 大学院理工学研究部(理学), 教授 2015: 富山大学, 理工学研究部, 教授 2013: 富山大学, 理工学研究部, 教授 2012: 富山大学, その他の研究科, 教授 … More
Review Section/Research Field	Principal Investigator General mathematics (including Probability theory/Statistical mathematics) / Basic analysis / Basic Section 12020:Mathematical analysis-related / Mathematical analysis Except Principal Investigator General mathematics (including Probability theory/Statistical mathematics) / Basic analysis / 解析学 / Basic analysis
Keywords	Principal Investigator Hamilton-Jacobi方程式 / ベルマン方程式 / Landauの不等式 / ハミルトン-ヤコビ方程式 / 超縮小性 / 対数型 Sobolev の不等式 / 病的函数 / Hamilton-Jacobi flow / 至る所微分不可能 / 放物線群 … More Except Principal Investigator 安定性 / 特異摂動法 / 関数方程式 / 粘性解 / 振動 / singular perturbation method / 反応-拡散方程式 / ハミルトン・ヤコビ方程式 / 弱KAM理論 / 最適制御 / 比較定理 / 分岐現象 / reaction-diffusion systems / bifurcation phenomena / stability property / 微分方程式 / 零点 / differential equations / zero / 確率微分方程式 / 零点分布 / ボルテラ方程式 / 界面 / パターン形成 / 多重スケール法 / 内部遷移層 / 曲率流方程式 / 数理ファイナンス / 比較原理 / 強最大値原理 / 確率解析 / マルチンゲール / BMO / 確率偏微分方程式 / 梁 / 作用素平均 / 進行パルス / 定常パルス / 反応-拡散方程式系 / 分岐問題 / non-local / traveling pulses / standing pulses / 反応-拡散系 / 3種競争系 / 進行波解 / 3種競系 / 3 competing species model / traveling waves / 2流体問題 / 非圧縮性流体 / immiscible / 有限要素法 / 界面の収束性 / 質量保存性 / 擬密度関数 / Two-fluid flows / Incompressible / Immiscible / Finite element method / Convergence of interface / Mass conservation / ベルマン方程式 / ポートフォリオ最適化 / 最大値原理 / 対数ソボレフ不等式 / 指数ヘッジ / 界面モデル / 準古典的極限 / ポートフェリオ最適化 / 緩和現象 / コルモゴロフ方程式 / 最適戦略 / ウィーナー空間 / 非完備市場 / ファインマン・カッツ汎関数 / リスク鋭感的確率制御 / エルゴード型ベルマン方程式 / シュレーディンガー作用素 / 大偏差原理 / スペクトルギャップ / 加法的汎関数 / Bellman equations / Portfolio optimization / Maximum principle / Log Sobolev inequalities / Exponential hedge / Viscosity solutions / Critical surface models / semi-classical limits / 遷移層 / 反応拡散系 / 進行波 / 力学系 / 3種系 / 得意摂動法 / transition layer / stability / reaction-diffusion system / travelling wave / dynamical system / three component system / 定性的理論 / 関数変数偏微分方程式 / 関数微分方程式 / qualitative theory / partial factional-differential equations / oscillation / 振動理論 / Picone等式 / Picone型不等式 / 漸近的理論 / Picone 等式 / Picone 型不等式 / 偏微分方程式 / 比較理論 / comparison theory / oscillation theory / Picone identity / Picone-type inequality / 曲面の発展方程式 / 完全非線形偏微分方程式 / 弱ＫＡＭ理論 / 最適制御理論 / 関数方程式，米国，フランス，イタリア / 粘性解，米国，フランス，イタリア / 完全非線形偏微分方程式，米国，フランス，イタリア / 最適制御理論，米国，フランス，イタリア / 弱KAM理論，米国，フランス，イタリア / 曲面の発展方程式，米国，フランス，イタリア / 最適制御，米国，フランス，イタリア Less

Study on Hamilton-Jacobi flows with initial data of various pathological functionsPrincipal Investigator
- Principal Investigator
  
  藤田安啓
- Project Period (FY)
  2021 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  University of Toyama
病的函数を初期値とする Hamilton-Jacobi flow の研究Principal Investigator
- Principal Investigator
  
  藤田安啓
- Project Period (FY)
  2018 – 2021
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  University of Toyama
Deepening and application of a theory for the logarithmic Sobolev inequalityPrincipal Investigator
- Principal Investigator
  
  Fujita Yasuhiro
- Project Period (FY)
  2015 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Mathematical analysis
- Research Institution
  University of Toyama
Study for Hamilton-Jacobi equations and logarithmic Sobolev inequalityPrincipal Investigator
- Principal Investigator
  
  FUJITA Yasuhiro
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  University of Toyama
Deepening of the theory of viscosity solutions and its applications
- Principal Investigator
  
  ISHII Hitoshi
- Project Period (FY)
  2011 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Basic analysis
- Research Institution
  Waseda University
New development and its application of Aubry-Mather theory for Hamilton-Jacobi equationsPrincipal Investigator
- Principal Investigator
  
  YASUHIRO Fujita
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  University of Toyama
RESEARCH ON THE THEORY OF VISCOSITY SOLUTIONS OF DIFFERENTIAL EQUATIONS AND ITS APPLICATIONS
- Principal Investigator
  
  ISHII Hitoshi
- Project Period (FY)
  2006 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Basic analysis
- Research Institution
  Waseda University
Study on asymptotic solutions of Hamilton-Jacobi equations based on the theory of viscosity solutionsPrincipal Investigator
- Principal Investigator
  
  YASUHIRO Fujita
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  University of Toyama
Comparioson Theory and Asymptotic Theory for Differential Equations
- Principal Investigator
  
  YOSHIDA Norio
- Project Period (FY)
  2004 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  University of Toyama
Qualitative Theory on Oscillation of Solutions of Differential Equations
- Principal Investigator
  
  YOSHIDA Norio
- Project Period (FY)
  2002 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Toyama University
BELLMAN EQUATIONS OF RISK-SENRSITIVE STOCHASTIC AND THEIR APPLICATIONS
- Principal Investigator
  
  NAGAI Hideo
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Osaka University
On the existence and stability of singularly perturbed solutions for one-activator and two-inhibitors reaction-diffusion models
- Principal Investigator
  
  IKEDA Hideo
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Toyama University
Study on the finite element method for fluid flows with moving boundary
- Principal Investigator
  
  OHMORI Katsushi
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  University of Toyama
Global structure of traveling waves in 3-component competition-diffusion systems
- Principal Investigator
  
  IKEDA Hideo
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Toyama University
エルゴード的在庫管理問題についてPrincipal Investigator
- Principal Investigator
  
  藤田安啓
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  University of Toyama
Bifurcation of traveling spot patterns in 2-dimensional domain
- Principal Investigator
  
  IKEDA Hideo
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Toyama University
エルゴード的確率制御についてPrincipal Investigator
- Principal Investigator
  
  藤田安啓
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  University of Toyama
従属半群の研究Principal Investigator
- Principal Investigator
  
  藤田安啓
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  University of Toyama
確率過程論による従属半群とVolterra方程式のresoluentの研究Principal Investigator
- Principal Investigator
  
  藤田安啓
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  University of Toyama
反応-拡散方程式系における界面のダイナミクスの研究
- Principal Investigator
  
  池田榮雄
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  University of Toyama
関数方程式の定性的理論
- Principal Investigator
  
  YOSHIDA Norio
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  University of Toyama
確率解析とその応用
- Principal Investigator
  
  風巻紀彦
- Project Period (FY)
  1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  University of Toyama

[Journal Article] A self-affine property of evolutional type appearing in a Hamilton--Jacobi flow starting from the Takagi function2021
- Author(s)
  Fujita, Y., Hamamuki,N., Yamaguchi, N.
- Journal Title
  
  Michigan Mathematical Journal
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03360
[Journal Article] A self-affine property of evolutional type appearing in a Hamilton-Jacobi flow starting from the Takagi function2021
- Author(s)
  Fujita, Y., Hamamuki,N., , Yamaguchi,N.
- Journal Title
  
  Michigan Mathematical Journal
  
  Volume: 70 Pages: 1-16
- DOI
  10.1307/mmj/20195782
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03360, KAKENHI-PROJECT-19K14564
[Journal Article] New Sharp Gagliardo--Nirenberg--Sobolev Inequalities and an Improved Borell--Brascamp--Lieb Inequality2020
- Author(s)
  Bolley, F., Cordero-Erausquin, D., Fujita, Y., Gentil, I., Guillin, A.
- Journal Title
  
  International Mathematics Research Notices, IMRN
  
  Volume: 2020
- DOI
  10.1093/imrn/rny111
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03360
[Journal Article] All the generalized characteristics for the solution to a Hamilton--Jacobi equation with the initial data of the Takagi function2020
- Author(s)
  Fujita, Y., Hamamuki,N., , Yamaguchi,N.
- Journal Title
  
  SN Partial Differential Equations and Applications
  
  Volume: 1:38 Pages: 1-20
- DOI
  10.1007/s42985-020-00039-7
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03360, KAKENHI-PROJECT-19K14564
[Journal Article] A class of nowhere differentiable functions satisfying some concavity-type estimate2020
- Author(s)
  Yasuhiro Fujita, Nao Hamamuki, Antonio Siconolfi, Norikazu Yamaguchi
- Journal Title
  
  Acta Mathematica Hungarica
  
  Volume: 160 Pages: 343-359
- DOI
  10.1007/s10474-019-01007-3
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14564, KAKENHI-PROJECT-16K17621, KAKENHI-PROJECT-18K03360
[Journal Article] A lower bound of L∞-norm of gradients for Cauchy problems2018
- Author(s)
  Yasuhiro Fujita
- Journal Title
  
  Journal of Mathematical Analysis and Applications
  
  Volume: 458 Pages: 910-924
- DOI
  10.1016/j.jmaa.2017.08.045
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04949
[Journal Article] On the sets of maximum points for generalized Takagi functions2017
- Author(s)
  Yasuhiro Fujita and Yusuke Saito
- Journal Title
  
  Toyama Mathematical Journal
  
  Volume: 39 Pages: 87-94
- NAID
  120006457876
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-15K04949
[Journal Article] A supplementary proof of Lp-logarithmic Sobolev inequality2015
- Author(s)
  Yasuhiro Fujita
- Journal Title
  
  Annales de la Facultedes Sciences de Toulouse
  
  Volume: 24 Pages: 119-132
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-24540165
[Journal Article] Lipschitz constants and logarithmic Sobolev inequality2013
- Author(s)
  Yasuhiro Fujita
- Journal Title
  
  Journal of Mathematical Analysis and Applications
  
  Volume: 408 Pages: 705-712
- DOI
  10.1016/j.jmaa.2013.06.031
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540165
[Journal Article] Uniqueness sets for minimization formulas2012
- Author(s)
  Y. Fujita and H. Ishii
- Journal Title
  
  Differential and Integral Equations
  
  Volume: 25 Pages: 579-588
- URL
  http://www.aftabi.com/DIE/DIE-25-figs/p26.gif
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540168
[Journal Article] Uniqueness sets for minimization formulas2012
- Author(s)
  Yasuhiro Fujita, Hitoshi Ishii
- Journal Title
  
  Differential and IntegralEquations
  
  Volume: (未定)(掲載確定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23244015
[Journal Article] Uniqueness sets for minimization formulas2012
- Author(s)
  Y.Fujita, H.Ishii
- Journal Title
  
  Differential Integral Equations
  
  Volume: 25 Pages: 579-588
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23244015
[Journal Article] Uniqueness sets for minimization formulas2012
- Author(s)
  Fujita, Y. Ishii, H.
- Journal Title
  
  Differential Integral Equations
  
  Volume: 25 Pages: 579-588
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540165
[Journal Article] An optimal logarithmic Sobolev inequality with Lipschitz constants2011
- Author(s)
  Y. Fujita
- Journal Title
  
  Journal of Functional Analysis
  
  Volume: 261 Pages: 1133-1144
- URL
  http://dx.doi.org/10.1016/j.jfa.2011.04.011
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540168
[Journal Article] An optimal logarithmic Sobolev inequality with Lipschitz constants2011
- Author(s)
  Yasuhiro Fujita
- Journal Title
  
  Journal of Functional Analysis
  
  Volume: 261 Pages: 1133-1144
- DOI
  10.1016/j.jfa.2011.04.011
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23244015
[Journal Article] Inequalities and the Aubry-Mather theory of Hamilton-Jacobi equations2009
- Author(s)
  Y. Fujita and K. Ohmori
- Journal Title
  
  Communications on Pure and Applied Analysis
  
  Volume: 8 Pages: 683-688
- DOI
  10.3934/cpaa.2009.8.683
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540168
[Journal Article] Long-time behavior of solutions to Hamilton-Jacobi equations with quadratic gradient term2009
- Author(s)
  Y.Fujita, P.Loreti
- Journal Title
  
  NoDEA Nonlinear Differential Equations Appl. 16
  
  Pages: 771-791
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204009
[Journal Article] Long-time behavior of solutions to Hamilton-Jacobi equations with quadratic gradient term2009
- Author(s)
  Y. Fujita and P. Loreti
- Journal Title
  
  Nonlinear Differential Equations and Applications
  
  Volume: 16 Pages: 771-791
- DOI
  10.1007/s00030-009-0034-9
- URL
  http://www.springerlink.com/content/n6l5880m68432716/fulltext.pdf
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540168
[Journal Article] Inequalities and the Aubry-Mather theory of Hamilton-Jacobi equations2009
- Author(s)
  Fujita, Y., Ohmori, K
- Journal Title
  
  Communications on Pure and Applied Analysis Vol.8, No.2
  
  Pages: 683-688
- Data Source
  KAKENHI-PROJECT-18540165
[Journal Article] Long-time behavior of solutions to Hamilton-Jacobi equations with quadratic gradient term2009
- Author(s)
  Y.Fujita, P.Loreti
- Journal Title
  
  Nonlinear Differential Equations and Applications 16
  
  Pages: 771-791
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540168
[Journal Article] Asymptotic solutions with slow convergence rate of Hamilton-Jacobi equations in Euclidean n space2007
- Author(s)
  Y.Fujita, K.Uchiyama
- Journal Title
  
  Differential and Integral Equations 20
  
  Pages: 1185-1200
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204009
[Journal Article] Asymptotic solutions with slow convergence rate of Hamilton-Jacobi equations in Euclidean n space2007
- Author(s)
  Fujita, Y. and Uchiyama, K.
- Journal Title
  
  Differential and Integral Equations 20
  
  Pages: 1185-1200
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540165
[Journal Article] Asymptotic solutions with slow convergence rate of Hamilton Jacobi equations in Euclidean n space2007
- Author(s)
  Fujita, Y., Uchiyama,K
- Journal Title
  
  Differential and Integral Equations Vol.20
  
  Pages: 1185-1200
- Data Source
  KAKENHI-PROJECT-18540165
[Journal Article] Convergence rates of asymnptotic solutions to Hamilton-Jacobi equations in Euclidean n space2007
- Author(s)
  Y.Fujita
- Journal Title
  
  微分方程式の粘性解理論とその発展, 数理解析研究所講究録 1545
  
  Pages: 83-87
- Data Source
  KAKENHI-PROJECT-18204009
[Journal Article] On a critical role of Ornstein-Uhlenbeck operators in the Poincare's inequality2006
- Author(s)
  Fujita, Y
- Journal Title
  
  Differential and Integral Equations Vol.19
  
  Pages: 1321-1332
- Data Source
  KAKENHI-PROJECT-18540165
[Journal Article] A note on asymptotic solutions of Hamilton-Jacobi equations2006
- Author(s)
  Y.Fujita
- Journal Title
  
  数理解析研究所講究録 1481
  
  Pages: 88-92
- Data Source
  KAKENHI-PROJECT-18204009
[Journal Article] Asymptotic solutions of Hamilton-Jacobi equations in Euclidean n space2006
- Author(s)
  藤田安啓、石井仁司、Paola Loreti
- Journal Title
  
  Indiana Univ. Math. J. 55巻
  
  Pages: 1671-1700
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204009
[Journal Article] On a critical role of Ornstein-Uhlenbeck operators in the Poincare' inequality2006
- Author(s)
  Y.Fujita
- Journal Title
  
  Differential and Integral Equations 19
  
  Pages: 1321-1332
- Data Source
  KAKENHI-PROJECT-18540165
[Journal Article] Asymptotic solutions of viscous Hamilton-Jacobi equations with Ornstein-Uhlenbeck operator2006
- Author(s)
  藤田安啓、石井仁司、Paola Loreti
- Journal Title
  
  Comm. Partial Differential Equations 31巻
  
  Pages: 827-848
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204009
[Journal Article] On basin of zero-solutions to a semilinear parabolic equation with Ornstein-Uhlenbeck operator2006
- Author(s)
  Y.Fujita
- Journal Title
  
  Journal of Inequalities and Applications Article ID 52498
  
  Pages: 10-10
- Data Source
  KAKENHI-PROJECT-18540165
[Journal Article] Asymptotic solutions of Hamilton-Jacobi equations in Euclidean n space2006
- Author(s)
  Fujita, Y., Ishii, H. and Loreti, P
- Journal Title
  
  Indiana Univ. Math. J Vol. 55
  
  Pages: 1671-1700
- Data Source
  KAKENHI-PROJECT-18540165
[Journal Article] Asymptotic solutions of viscous Hamilton-Jacobi equations with Ornstein-Uhlenbeck operator2006
- Author(s)
  Y.Fujita, H.Ishii, P.Loreti
- Journal Title
  
  Communications in Partial Differential Equations 31・4-6
  
  Pages: 827-848
- Data Source
  KAKENHI-PROJECT-18540165
[Journal Article] Asymptotic solutions of Hamilton-Jacobi equations in Euclidean n space2006
- Author(s)
  Y.Fujita, H.Ishii, P.Loreti
- Journal Title
  
  Indiana University Mathematics Journal 55・5
  
  Pages: 1671-1700
- Data Source
  KAKENHI-PROJECT-18540165
[Journal Article] Asymptotic solutions of viscous Hamilton-Jacobi equations with Ornstein-Uhlenbeck operator2006
- Author(s)
  Fujita, Y., Ishii, H. and Loreti, P.
- Journal Title
  
  Communications in PDE Vol.31
  
  Pages: 827-848
- Data Source
  KAKENHI-PROJECT-18540165
[Journal Article] On minmal detefmining sets for Hamilton-Jacobi equations in Euchdean n space
- Author(s)
  Fujita, Y.
- Journal Title
  
  Gakuto International Series, Mathematical Sciences and Applications
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540165
[Journal Article] A refinement of the Poincare inequality for Kolmogorov operators on R^d
- Author(s)
  Y.Fujita
- Journal Title
  
  Journal of Inequalities and Applications (発表予定)
- Data Source
  KAKENHI-PROJECT-16540144
[Presentation] 高木函数を初期値とする Hamilton-Jacobi 方程式における特異性の伝播2020
- Author(s)
  藤田　安啓、山口範和、浜向直
- Organizer
  日本数学会2020年度秋季総合分科会, 函数方程式分科会学会は中止(講演は成立), 熊本大学
- Data Source
  KAKENHI-PROJECT-18K03360
[Presentation] A self-affine property appearing in a Hamilton--Jacobi flow starting from the Takagi function2019
- Author(s)
  Fujita, Y.
- Organizer
  New trends in Hamilton-Jacobi: PDE,Control,Dynamical Systems and Geometry, 2019.07.01-06, Fudan University, Shanghai, China
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03360
[Presentation] Hamilton-Jacobi 方程式に現れる時間発展型のself-affine 性2019
- Author(s)
  Fujita, Y.
- Organizer
  日本数学会2019年度秋季総合分科会, 函数方程式分科会 2019.09.18
- Data Source
  KAKENHI-PROJECT-18K03360
[Presentation] 至る所微分不可能な函数と Hamilton-Jacobi flow2019
- Author(s)
  Fujita, Y.
- Organizer
  福岡大学解析セミナー　2019.12.07
- Invited
- Data Source
  KAKENHI-PROJECT-18K03360
[Presentation] 病的函数を初期値とする Hamilton-Jacobi flow について2018
- Author(s)
  藤田安啓
- Organizer
  日本数学会2018年度年会函数方程式分科会
- Data Source
  KAKENHI-PROJECT-15K04949
[Presentation] 1.A geometrical characterization of a class of nowhere differentiable functions2018
- Author(s)
  Y.Fujita
- Organizer
  International Conference "Viscosity Solutions and Related Topics", 東北大学理学研究科
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03360
[Presentation] 2.A class of everywhere continuous and nowhere differentiable functions and its connection with a Hamilton-Jacobi equation2018
- Author(s)
  Y.Fujita
- Organizer
  The tenth meeting on Probability and PDE,, 津田大学
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03360
[Presentation] 2.On a geometrical property of Hamilton-Jacobi ow starting from some pathological function2017
- Author(s)
  Yasuhiro Fujita
- Organizer
  Nonlinear PDE for Future Applications 　- Optimal Control and PDE -,
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04949
[Presentation] 1.病的函数を初期値とする Hamilton-Jacobi flow の幾何学的性質2017
- Author(s)
  藤田安啓
- Organizer
  九州関数方程式セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-15K04949
[Presentation] Hamilton-Jacobi 方程式と高木函数の間の対応構造について2017
- Author(s)
  藤田　安啓
- Organizer
  日本数学会2017年度年会
- Place of Presentation
  首都大学東京
- Year and Date
  2017-03-25
- Data Source
  KAKENHI-PROJECT-15K04949
[Presentation] 一様放物型方程式の解の gradient の下からの評価について,2016
- Author(s)
  藤田　安啓
- Organizer
  日本数学会2016年度秋季総合分科会, 函数方程式分科会
- Place of Presentation
  関西大学
- Year and Date
  2016-09-16
- Data Source
  KAKENHI-PROJECT-15K04949
[Presentation] On Hamilton-Jacobi equation with initial data of the Takagi function2016
- Author(s)
  藤田　安啓
- Organizer
  北大 PDE セミナー
- Place of Presentation
  北海道大学
- Year and Date
  2016-10-28
- Invited
- Data Source
  KAKENHI-PROJECT-15K04949
[Presentation] 一般化された高木函数が最大値を取る集合について,2016
- Author(s)
  藤田　安啓
- Organizer
  第45回金沢解析セミナー
- Place of Presentation
  金沢大学
- Year and Date
  2016-09-02
- Invited
- Data Source
  KAKENHI-PROJECT-15K04949
[Presentation] pplication of a logarithmic Sobolev inequality to gradient bounds of solutions of parabolic equations2015
- Author(s)
  Yasuhiro Fujita
- Organizer
  研究集会「確率論と幾何学」
- Place of Presentation
  東京工業大学
- Year and Date
  2015-11-09
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04949
[Presentation] On a Gagliardo-Nirenberg type inequality for log-concave functions2015
- Author(s)
  Yasuhiro Fujita
- Organizer
  RIMS研究集会「偏微分方程式の漸近問題と粘性解」
- Place of Presentation
  京都大学
- Year and Date
  2015-12-02
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04949
[Presentation] On a Sobolev-type inequality for log-concave functions via a Hamilton-Jacobi equation2015
- Author(s)
  Yasuhiro Fujita
- Organizer
  早稲田大学における講演会(講演者 3 名)
- Place of Presentation
  早稲田大学教育・総合科学学術院
- Year and Date
  2015-08-03
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04949
[Presentation] Hamilton-Jacobi 方程式における Lipschitz 正則効果の立ち上がりの rate について2014
- Author(s)
  Yasuhiro Fujita
- Organizer
  第12回浜松偏微分方程式研究集会
- Place of Presentation
  静岡大学工学部
- Year and Date
  2014-12-23
- Invited
- Data Source
  KAKENHI-PROJECT-24540165
[Presentation] 1.Asymptotic behavior to Hamilton--Jacobi--Bellman equation via　logarithmic Sobolev inequality2014
- Author(s)
  Yasuhiro Fujita
- Organizer
  Stochastic Processes and Mathematical Finance
- Place of Presentation
  関西大学
- Invited
- Data Source
  KAKENHI-PROJECT-24540165
[Presentation] A proof of Lp-logarithmic Sobolev inequality via several approximations2014
- Author(s)
  Yasuhiro Fujita
- Organizer
  研究集会「確率解析とその周辺」
- Place of Presentation
  東北大学大学院理学研究科
- Year and Date
  2014-10-15
- Data Source
  KAKENHI-PROJECT-24540165
[Presentation] ルベーグ測度に関する対数型ソボレフの不等式とその応用2014
- Author(s)
  Yasuhiro Fujita
- Organizer
  2014年度松江セミナー
- Place of Presentation
  島根大学総合理工学部
- Year and Date
  2014-06-27
- Invited
- Data Source
  KAKENHI-PROJECT-24540165
[Presentation] From Hamilton-Jacobi equation to logarithmic Sobolev inequality with Lipschitz constants2014
- Author(s)
  Yasuhiro Fujita
- Organizer
  THE NINTH MEETING ON PROBABILITY AND PDE
- Place of Presentation
  津田塾大学小平キャンパス
- Year and Date
  2014-11-14
- Invited
- Data Source
  KAKENHI-PROJECT-24540165
[Presentation] p-parabolic equation and logarithmic Sobolev inequality2013
- Author(s)
  Fujita, Y.
- Organizer
  Partial Differential Equations Fukae Work Shop
- Place of Presentation
  神戸大学海事科学部
- Invited
- Data Source
  KAKENHI-PROJECT-24540165
[Presentation] Lipschitz regularizing effect and its application for Hamilton--Jacobi equations with discontinuous initial data2012
- Author(s)
  Yasuhiro Fujita
- Organizer
  第13回非線形偏微分方程式研究会
- Place of Presentation
  早稲田大学(東京都)(招待講演)
- Year and Date
  2012-03-06
- Data Source
  KAKENHI-PROJECT-23244015
[Presentation] Parabolic p-Laplace equation and logarithmic Sobolev inequality2012
- Author(s)
  Fujita, Y.
- Organizer
  九州関数方程式セミナー
- Place of Presentation
  福岡大学
- Invited
- Data Source
  KAKENHI-PROJECT-24540165
[Presentation] Lipschitz regularizing effect and its application for Hamilton--Jacobi equations with discontinuous initial data2012
- Author(s)
  Y.Fujita
- Organizer
  研究集会「非線形偏微分方程式研究会」
- Place of Presentation
  早稲田大学(招待講演)
- Year and Date
  2012-03-06
- Data Source
  KAKENHI-PROJECT-21540168
[Presentation] Lipschitz regularizing effect and its application for Hamilton-Jacobi equations with discontinuous initial data2012
- Author(s)
  Y. Fujita
- Organizer
  非線形偏微分方程式研究会
- Place of Presentation
  早稲田大学
- Year and Date
  2012-03-06
- Data Source
  KAKENHI-PROJECT-21540168
[Presentation] p-放物型方程式の解の超縮小性と対数型ソボレフの不等式2012
- Author(s)
  Fujita, Y.
- Organizer
  第 93 回熊本大学応用解析セミナー
- Place of Presentation
  熊本大学
- Invited
- Data Source
  KAKENHI-PROJECT-24540165
[Presentation] Lipschitz定数を含む対数型Sobolevの不等式とその応用2011
- Author(s)
  Y.Fujita
- Organizer
  解析月曜セミナー
- Place of Presentation
  東北大学(招待講演)
- Year and Date
  2011-10-31
- Data Source
  KAKENHI-PROJECT-21540168
[Presentation] A logarithmic Sobolev inequality induced by Hamilton-Jacobi equations2011
- Author(s)
  Y. Fujita
- Organizer
  研究集会「Weak KAM Theory in Italy」
- Place of Presentation
  Cortona(Italy)
- Year and Date
  2011-09-14
- Data Source
  KAKENHI-PROJECT-21540168
[Presentation] Hamilton-Jacobi方程式から導かれる対数型Sobolevの不等式とその応用2011
- Author(s)
  Y. Fujita
- Organizer
  研究集会「確率解析とその周辺」
- Place of Presentation
  佐賀大学
- Data Source
  KAKENHI-PROJECT-21540168
[Presentation] Hamilton-Jacobi方程式の解の超縮小性とLipschitz regularizing effect2011
- Author(s)
  Y.Fujita
- Organizer
  日本数学会2011年度年会,函数方程式分科会
- Place of Presentation
  早稲田大学(震災で中止.アブストラクトは刊行)
- Year and Date
  2011-03-21
- Data Source
  KAKENHI-PROJECT-21540168
[Presentation] 対数型Sobolevの不等式とHamilton-Jacobi方程式の解の超縮小性について2011
- Author(s)
  Y. Fujita
- Organizer
  解析ゼミ第56回粘性解ダブルス
- Place of Presentation
  埼玉大学
- Year and Date
  2011-12-16
- Data Source
  KAKENHI-PROJECT-21540168
[Presentation] Hamilton-Jacobi方程式の解の超縮小性とLipschitz regularizing effect2011
- Author(s)
  Y. Fujita
- Organizer
  日本数学会2011年度年会,函数方程式分科会
- Place of Presentation
  早稲田大学理工学術院(震災で中止.講演のアブストラクトは発行)
- Year and Date
  2011-03-21
- Data Source
  KAKENHI-PROJECT-21540168
[Presentation] Hamilton-Jacobi方程式から導かれる対数型ソボレフの不等式2011
- Author(s)
  Y. Fujita
- Organizer
  日本数学会2011年度秋季総合分科会,函数方程式分科会
- Place of Presentation
  信州大学
- Year and Date
  2011-09-29
- Data Source
  KAKENHI-PROJECT-21540168
[Presentation] Lipschitz定数を含む対数型Sobolevの不等式とその応用2011
- Author(s)
  Y. Fujita
- Organizer
  解析月曜セミナー
- Place of Presentation
  東北大学
- Year and Date
  2011-10-31
- Data Source
  KAKENHI-PROJECT-21540168
[Presentation] 対数型Sobolevの不等式とHamilton-Jacobi方程式の解の超縮小性について2011
- Author(s)
  Y.Fujita
- Organizer
  解析ゼミ第56回粘性解ダブルス
- Place of Presentation
  埼玉大学(招待講演)
- Year and Date
  2011-12-16
- Data Source
  KAKENHI-PROJECT-21540168
[Presentation] A logarithmic Sobolev inequality induced by Hamilton-Jacobi equations2011
- Author(s)
  Y.Fujita
- Organizer
  国際研究集会「Weak KAM Theory in Italy」
- Place of Presentation
  イタリア、コルトーナ(招待講演)
- Year and Date
  2011-09-14
- Data Source
  KAKENHI-PROJECT-21540168
[Presentation] Some topological results for minimal uniqueness sets of Hamilton-Jacobi equations2010
- Author(s)
  Y.Fujita
- Organizer
  第27回九州における偏微分方程式研究集会
- Place of Presentation
  九州大学西新プラザ
- Year and Date
  2010-01-26
- Data Source
  KAKENHI-PROJECT-18204009
[Presentation] Some topological results for minimal uniqueness sets of Hamilton-Jacobi equations2010
- Author(s)
  Y. Fujita
- Organizer
  第27回九州における偏微分方程式研究集会
- Place of Presentation
  九州大学
- Year and Date
  2010-01-26
- Data Source
  KAKENHI-PROJECT-21540168
[Presentation] An approach to classical inequalities via Hamilton-Jacobi equations2010
- Author(s)
  Y. Fujita
- Organizer
  研究集会「広島応用解析セミナー(第12回)」
- Place of Presentation
  広島大学
- Year and Date
  2010-01-13
- Data Source
  KAKENHI-PROJECT-21540168
[Presentation] An approach to classical inequalities via Hamilton-Jacobi equations2010
- Author(s)
  Y.Fujita
- Organizer
  研究集会「広島応用解析セミナー(第12回)」
- Place of Presentation
  広島大学
- Year and Date
  2010-01-13
- Data Source
  KAKENHI-PROJECT-21540168
[Presentation] On Hamilton-Jacobi equations and Euclidean logarithmic Sobolev inequalities2009
- Author(s)
  Y. Fujita
- Organizer
  研究集会「Viscosity Solutions of Differential Equations and Related Topics」
- Place of Presentation
  京都大学数理解析研究所
- Data Source
  KAKENHI-PROJECT-21540168
[Presentation] On Hamilton-Jacobi equations and Euclidean logarithmic Sobolev inequality2009
- Author(s)
  Y.Fujita
- Organizer
  Viscosity Solutions of Differential Equations and Related Topics
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2009-06-24
- Data Source
  KAKENHI-PROJECT-18204009
[Presentation] On Hamilton-Jacobi equations and Euclidean logarithmic Sobolev inequalities2009
- Author(s)
  Y.Fujita
- Organizer
  研究集会「Viscosity Solutions of Differential Equations and Related Topics」
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2009-06-24
- Data Source
  KAKENHI-PROJECT-21540168
[Presentation] Hamilton-Jacobi方程式の商Aubry集合の完全不連結性と極小一意性集合の存在2009
- Author(s)
  Y. Fujita
- Organizer
  富山大学理学部数学教室2009年度第2回談話回
- Place of Presentation
  富山大学
- Year and Date
  2009-12-22
- Data Source
  KAKENHI-PROJECT-21540168
[Presentation] Ineaualities induced by Hamilton-Jacobi equation2008
- Author(s)
  Fujita, Y.
- Organizer
  Viscosity, metric and contro1 theoretic me thods in nonlinear PDEs : analysis, approximations, appiications
- Place of Presentation
  SAPIENZA Universitadi Roma
- Year and Date
  2008-09-05
- Data Source
  KAKENHI-PROJECT-18540165
[Presentation] Hamilton-Jacobi方程式により導くことができる不等式について2008
- Author(s)
  Fujita, Y.
- Organizer
  日本数学会秋季総合分科会, 函数方程式分科会
- Place of Presentation
  東京工業大学
- Year and Date
  2008-09-26
- Data Source
  KAKENHI-PROJECT-18540165
[Presentation] Some relations between Aubry sets and quotient Aubry sets2008
- Author(s)
  Fujita, Y.
- Organizer
  Viscosity Solutions of Differential Equations and Related Topics
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2008-06-27
- Data Source
  KAKENHI-PROJECT-18540165
[Presentation] On uniqueness sets for H-J equations2008
- Author(s)
  Y. Fujita
- Organizer
  非線形偏微分方程式とその応用
- Place of Presentation
  神戸大学
- Year and Date
  2008-01-11
- Data Source
  KAKENHI-PROJECT-18204009
[Presentation] Hamilton-Jacobi方程式の最小-意性集合とカントール集合2007
- Author(s)
  Y. Fujita
- Organizer
  確率論とPDE
- Place of Presentation
  広島大学
- Data Source
  KAKENHI-PROJECT-18204009
[Presentation] Existence and nonexistence of the minimal uniqueness set for Hamilton-Jacobi equations2007
- Author(s)
  藤田安啓
- Organizer
  粘性解生誕25周年国際研究集会(International Con ference for the 25th Anniversary of Viscosity Solu tion)
- Place of Presentation
  東京大学・数理科学研究科
- Data Source
  KAKENHI-PROJECT-18540165
[Presentation] n次元ユークリッド空間上のHamiltor-Jacobi方程式の最小-意性集合の存在と非存在2007
- Author(s)
  Y. Fujita
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  東北大学
- Year and Date
  2007-09-21
- Data Source
  KAKENHI-PROJECT-18204009
[Presentation] Existence and nonexistence of the minimal uniqueness set for Hamilton-Jacobi equations2007
- Author(s)
  Y. Fujita
- Organizer
  International Conference for the 25th Anniversary of Viscosity Solution
- Place of Presentation
  東京大学
- Year and Date
  2007-06-05
- Data Source
  KAKENHI-PROJECT-18204009
[Presentation] 対数型 Sobolev の不等式による Hamilton-Jacobi-Bellman 方程式へのアプローチ
- Author(s)
  Yasuhiro Fujita
- Organizer
  広島数理解析セミナー
- Place of Presentation
  広島大学
- Invited
- Data Source
  KAKENHI-PROJECT-24540165

1. IKEDA Hideo (60115128)

# of Collaborated Projects: 10 results

# of Collaborated Products: 0 results
2. YOSHIDA Norio (80033934)

# of Collaborated Projects: 10 results

# of Collaborated Products: 0 results
3. ISHII Hitoshi (70102887)

# of Collaborated Projects: 8 results

# of Collaborated Products: 10 results
4. ISHII Katsuyuki (40232227)

# of Collaborated Projects: 7 results

# of Collaborated Products: 10 results
5. KOBAYASHI Kusuo (70033925)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
6. NAGI Hideo (70110848)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
7. KOIKE Shigeaki (90205295)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
8. WATANABE Yoshiyuki (50018991)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
9. KATSUSHI Ohmori (20110231)

# of Collaborated Projects: 2 results

# of Collaborated Products: 1 results
10. 鈴木正昭 (10037236)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
11. OTANI Mitsuharu (30119656)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
12. GIGA Yoshikazu (70144110)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
13. MIKAMI Toshio (70229657)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
14. YAMADA Naoki (50030789)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
15. 久保文夫 (90101188)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
16. 風巻紀彦 (50004396)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
17. KOBAYASI Kazuo (30139589)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. GOTO Syun'ichi (30225651)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. OHNUMA Masaki (90304500)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
20. AZUKAWA Kazuo (20018998)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
21. SEKINE Jun (50314399)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
22. AIDA Shigeki (90222455)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
23. FUNAKI Tadahisa (60112174)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
24. MITAKE Hiroyoshi (90631979)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
25. ICHIHARA Naoyuki (70452563)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
26. 竹田雅好 (30179650)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
27. 浜向直

# of Collaborated Projects: 0 results

# of Collaborated Products: 3 results

Fujita Yasuhiro 藤田 安啓

FUJITA Yasuhiro 藤田 安啓

藤田 安啓 フジタ ヤスヒロ

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Study on Hamilton-Jacobi flows with initial data of various pathological functionsPrincipal Investigator

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病的函数を初期値とする Hamilton-Jacobi flow の研究Principal Investigator

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Deepening and application of a theory for the logarithmic Sobolev inequalityPrincipal Investigator

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Study for Hamilton-Jacobi equations and logarithmic Sobolev inequalityPrincipal Investigator

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New development and its application of Aubry-Mather theory for Hamilton-Jacobi equationsPrincipal Investigator

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Study on asymptotic solutions of Hamilton-Jacobi equations based on the theory of viscosity solutionsPrincipal Investigator

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Fujita Yasuhiro 藤田安啓

FUJITA Yasuhiro 藤田安啓

藤田安啓フジタヤスヒロ