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J-GLOBAL ID：200901042314727790   Update date: Feb. 01, 2024

Takahashi Futoshi

タカハシ フトシ | Takahashi Futoshi
Affiliation and department：
Osaka Metropolitan University Graduate School of Science Mathematics and Physics Course

About Osaka Metropolitan University Graduate School of Science Mathematics and Physics Course


Job title： Professor
Research field  (3)： Mathematical analysis ,  Mathematical analysis ,  Basic analysis
Research keywords  (5)： Elliptic Partial Differential Equations ,  Variational methods ,  多様体上の解析学 ,  偏微分方程式論 ,  臨界型変分問題
Research theme for competitive and other funds  (10)：
  • 2019 - 2024 臨界型非線形数理モデルにおける高次数理解析法の創造
  • 2019 - 2022 臨界型変分問題における領域の幾何の影響-解空間大域構造とコンパクト性喪失機構-
  • 2017 - 2022 Analysis of singular nonlinear structure in dissipative systems
  • 2015 - 2019 変分汎関数の高次情報が拓く楕円型偏微分方程式の解の大域的・幾何学的構造
  • 2013 - 2018 Elucidations on unexplored regions of problems related to the criticality of nonlinear dissipative and dispersive structures in mathematical models
Show all
Papers (56)：
  • SANO Megumi, TAKAHASHI Futoshi. Weighted Hardy's inequality in a limiting case and the perturbed Kolmogorov equation. Applicable Analysis. 2019. 98. 10. 1875-1888
  • Van Hoang Nguyen, Takahashi Futoshi. On a weighted Trudinger-Moser type inequality on the whole space and related maximizing problem. Differential Integral Equations. 2018. 31. 11-12. 785-806
  • Megumi Sano, Futoshi Takahashi. SOME IMPROVEMENTS FOR A CLASS OF THE CAFFARELLI-KOHN-NIRENBERG INEQUALITIES. DIFFERENTIAL AND INTEGRAL EQUATIONS. 2018. 31. 1-2. 57-74
  • Futoshi Takahashi. Critical and subcritical fractional Trudinger-Moser-type inequalities on R. Advances in Nonlinear Analysis. 2017. 8. 868-884
  • Megumi Sano, Futoshi Takahashi. Scale invariance structures of the critical and the subcritical Hardy inequalities and their improvements. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. 2017. 56. 3
ｍore...
MISC (10)：
  • Daisuke Naimen, Futoshi Takahashi. A note on radial solutions to the critical Lane-Emden equation with a variable coefficient. 2018
  • Naoki Hamamoto, Futoshi Takahashi. Sharp Hardy-Leray and Rellich-Leray inequalities for curl-free vector fields. 2018
  • Angelo Alvino, Adele Ferone, Anna Mercaldo, Futoshi Takahashi, Roberta Volpicelli. Finsler Hardy-Kato's inequality. 2018
  • Megumi Sano, Futoshi Takahashi. Weighted Hardy's inequality in a limiting case and the perturbed Kolmogorov equation. 2018
  • Jaeyoung Byeon, Futoshi Takahashi. Hardy's inequality in a limiting case on general bounded domains. 2017
ｍore...
Books (5)：
  • 変分問題の展開 : 確率論と交錯する変分問題
    京都大学数理解析研究所 2013
  • 変分問題の展開 : 発展方程式論における変分的方法
    京都大学数理解析研究所 2012
  • 変分問題の展開 : 幾何学的勾配流と臨界点理論の新潮流
    京都大学数理解析研究所 2011
  • 変分問題とその周辺
    京都大学数理解析研究所 2009
  • 変分問題とその周辺
    京都大学数理解析研究所 2007
Lectures and oral presentations  (18)：
  • Sharp Hardy-Leray inequalities for curl-free vector fields
    (IMPAN (Institute of Mathematics Polish Academy of Science, Warsaw) Simons semester ``Geometry and analysis in function and mapping theory on Euclidean and metric measure spaces" 2019)
  • Sharp Hardy-Leray inequalities for curl-free vector fields
    (11th Brazilian-Italian Workshop on Nonlinear Differential Equations (Varese, Italy) 2019)
  • Sharp Hardy-Leray inequalities for curl-free vector fields
    (6th Italian-Japanese workshop on ``Geometric Properties for Parabolic and Elliptic PDE's" (Cortona, Italy) 2019)
  • Sharp Hardy-Leray inequalities for curl-free vector fields
    (AMS Spring Central and Western Joint Sectional Meeting SS44A - Special Session on ``New Trends on Variational Calculus and Non-Linear Partial Differential Equations" (University of Hawaii, Manoa, Honolulu) 2019)
  • 一般有界領域上での臨界 Hardy 不等式について
    (日本数学会秋季総合分科会函数方程式論分科会 2018)
ｍore...
Education (4)：
  • 1990 - 2002 Tokyo Institute of Technology Department of mathematics
  • - 2002 Tokyo Institute of Technology Graduate School, Division of Science and Engineering Mathematics
  • 1982 - 1987 The university of Tokyo College of Arts and Sciences
  • - 1987 The University of Tokyo College of Arts and Sciences Department of Basic Science
Professional career (1)：
  • 博士(理学) (東京工業大学)
Work history (5)：
  • 2009/04 - 現在 Osaka City University Departiment of Science Professor
  • 2005/10/01 - 現在 Osaka City University Graduate School of Science Mathematics and Physics Course Professor
  • 2007/04 - 2009/03 Osaka City University
  • 2005/10 - 2007/03 Osaka City University
  • 1987 - 1990 キヤノン株式会社
Committee career (4)：
  • 2010 - Mathematical Society of Japan Councilor(Hanshin Division)
  • 2010 - 日本数学会 評議員(阪神支部)
  • 2009 - Mathematical Society of Japan Delegate(Hanshin Division)
  • 2009 - 日本数学会 代議員(阪神支部)
Awards (3)：
  • 2017/11/03 - 大阪市立大学教育後援会「優秀教育賞」
  • 2011/12 - Mathematical Society of Japan,Division of Functional Equations Mathematical Society of Japan, 3rd Fukuhara Prize Study of non-degenerate critical points related to nonlinear elliptic equations
  • 2011/12 - Mathematical Society of Japan The 3rd Fukuhara Prize Study of nondegenerate critical points on nonlinear elliptic partial differential equations
Association Membership(s) (1)：
Mathematical Society of Japan
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