TAKAHASHI Futoshi

写真a

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Title

Professor

Laboratory location

Sugimoto Campus

Profile

I am interested in and studying analysis.

Research Areas 【 display / non-display

Mathematical analysis, Basic analysis

Research subject summary 【 display / non-display

  • I am mainly studying analysis. Especially, I am interested in partial differential equations with variational structures those appear in mathematical physics or differential geometry.

Research Interests 【 display / non-display

variational methods, elliptic partial differential equations

Research Career 【 display / non-display

  • Blow up analysis for variational problems of critical type and the qualitative properties of solutions caused by blowing-up phenomena

    (Individual) Project Year :

    2008.04
     
     

    Keyword in research subject:  variational problem, blow up analysis, qualitative property

Association Memberships 【 display / non-display

  • Mathematical Society of Japan

Committee Memberships 【 display / non-display

  • 2010
     
     

    Mathematical Society of Japan   Councilor(Hanshin Division)

  • 2009
     
     

    Mathematical Society of Japan   Delegate(Hanshin Division)

Awards & Honors 【 display / non-display

  • The 20th Analysis Prize (Mathematical Society of Japan)

    2021.09.01  

  • Mathematical Society of Japan, 3rd Fukuhara Prize

    Study of non-degenerate critical points related to nonlinear elliptic equations

    2011.12   Mathematical Society of Japan,Division of Functional Equations

    Winner : Futoshi Takahashi

Current Career 【 display / non-display

  • Osaka City University   Graduate School of Science   Mathematics and Physics Course   Professor  

Career 【 display / non-display

  • 2009
     
     

    Osaka City University  

  • 2007
     
     

    Osaka City University  

  • 2005
     
     

    Osaka City University  

Graduate School 【 display / non-display

  •  
    -
    2002

    Tokyo Institute of Technology  Graduate School, Division of Science and Engineering  Mathematics 

Graduating School 【 display / non-display

  •  
    -
    1987

    The University of Tokyo   Faculty of Liberal Arts   Department of Basic science

 

Published Papers 【 display / non-display

  • Sharp Hardy-Leray and Rellich-Leray inequalities for curl-free vector fields

    Naoki Hamamoto, Futoshi Takahashi

    Mathematische Annalen  379 ( 1 ) 719 - 742 2021.02  [Refereed]

    DOI

  • Sharp Hardy-Leray inequality for curl-free fields with a remainder term

    Naoki Hamamoto, Futoshi Takahashi

    Journal of Functional Analysis  280 ( 108790 ) 1 - 24 2021.01  [Refereed]

  • Finsler Hardy inequalities

    A. Mercaldo, M. Sano, F. Takahashi

    Mathematische Nachrichten  293 ( 12 ) 2370 - 2398 2020.12  [Refereed]

  • A characterization of differentiability for the best trace Sobolev constant function

    Kazuya Akayama, and Futoshi Takahashi

    RIMS Kokyuroku Bessatsu  B82   87 - 101 2020.09  [Refereed]

  • Sharp Hardy-Leray inequality for three-dimensional solenoidal fields with axisymmetric swirl

    Naoki Hamamoto, and Futoshi Takahashi

    Communications of Pure and Applied Analysis  19 ( 6 ) 3209 - 3222 2020.06  [Refereed]

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Books etc 【 display / non-display

Review Papers (Misc) 【 display / non-display

Conference Activities & Talks 【 display / non-display

  • Sharp Hardy-Leray inequalities for curl-free vector fields

    Futoshi Takahashi  [Invited]

    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"  2019.10 

  • Sharp Hardy-Leray inequalities for curl-free vector fields

    Futoshi Takahashi  [Invited]

    11th Brazilian-Italian Workshop on Nonlinear Differential Equations (Varese, Italy)  2019.07 

  • Sharp Hardy-Leray inequalities for curl-free vector fields

    Futoshi Takahashi  [Invited]

    6th Italian-Japanese workshop on ``Geometric Properties for Parabolic and Elliptic PDE's" (Cortona, Italy)   2019.05 

  • Sharp Hardy-Leray inequalities for curl-free vector fields

    Futoshi Takahashi  [Invited]

    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)  2019.03 

  • Sharp Hardy-Leray and Rellich-Leray inequalities for curl-free vector fields

    Naoki Hamamoto, Futoshi Takahashi  [Invited]

    PDEs and Mathematical Hydrodynamics: A conference in Honor of Vsevolod Alekseevich Solonnikov's 85'th Birthday  (Euler International Mathematical Institute, St. Petersburg, Russia)  2018.07 

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Grant-in-Aid for Scientific Research 【 display / non-display

  • Analysis of singular nonlinear structure in dissipative systems

    Project/Area Number : 17H01095  Grant-in-Aid for Scientific Research(A) Partaker / Other

    Project Year :

    2017.04
    -
    2022.03
     

  • Elucidations on unexplored regions of problems related to the criticality of nonlinear dissipative and dispersive structures in mathematical models

    Project/Area Number : 25220702  Grant-in-Aid for Scientific Research(S) Partaker / Other

    Project Year :

    2013.05
    -
    2018.03
     

 

Charge of on-campus class subject 【 display / non-display

  • Introduction to Mathematics II

    (2018) Graduate school, Special course

  • Senior Thesis

    (2018) University, Special course

  • Lectures on Analysis IV

    (2018) University, Special course

  • Advanced Analysis IV

    (2018) Graduate school, Special course

  • Analysis III

    (2018) University, General education courses

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Other educational activity and Special note 【 display / non-display

  • Office hours

    (2019)

  • Contribution to FD activities

    (2019)

  • Office hours

    (2018)

  • Contribution to FD activities

    (2018)

  • Contribution to FD activities

    (2017)

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Foreigner acceptance 【 display / non-display

  • Academic year : 2019

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    Number of foreigners accepted
    2
    Number of International Students
    1

    Italy

  • Academic year : 2018

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    Number of foreigners accepted
    3
    Number of International Students
    1

    England(1), Korea(2)

  • Academic year : 2017

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    Number of foreigners accepted
    17
    Number of International Students
    0

    Italy(15), France(1), Korea(1)

  • Academic year : 2016

     View Details

    Number of foreigners accepted
    8
    Number of International Students
    0
  • Academic year : 2015

     View Details

    Number of foreigners accepted
    2
    Number of International Students
    0

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