Updated on 2024/03/22

写真a

 
Kabeya Yoshitsugu
 
Organization
Graduate School of Science Department of Mathematics Professor
School of Science Department of Mathematics
Title
Professor
Affiliation
Institute of Science
Affiliation campus
Nakamozu Campus

Position

  • Graduate School of Science Department of Mathematics 

    Professor  2022.04 - Now

  • School of Science Department of Mathematics 

    Professor  2022.04 - Now

Degree

  • 博士(理学) ( Others ) (   Kobe University )

Research Areas

  • Natural Science / Mathematical analysis  / Global Analysis

  • Natural Science / Mathematical analysis

  • Natural Science / Basic analysis

Research Interests

  • 偏微分方程式

  • Partial Differential Equations

Research subject summary

  • 数理モデリング

  • 非線形波動方程式

  • 放物型偏微分方程式

  • 非線形楕円型偏微分方程式

Research Career

  • Global structures of solutions to Differential Equations

    elliptic partial differential equations, variational methods, bifurcation theory 

Professional Memberships

  • 日本数学会

Job Career (off-campus)

  • Osaka Prefecture University

    2018.04 - Now

  • - Osaka Prefecture University, Professor

    2009

  • - 大阪府立大学大学院工学研究科 教授

    2009

Papers

  • Gelfand problem on a large spherical cap. Reviewed

    Yoshitsugu Kabeya and Vitaly Moroz

    Journal of Elliptic and Parabolic Equations 雑誌 Springer Verlag   7 ( 1 )   2021.05

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    Kind of work:Joint Work  

  • Eigenvalues of the Laplace-Beltrami operator under the homogeneous Neumann condition on a large zonal domain in the unit sphere Reviewed

    Yoshitsugu Kabeya

    Discrete and Continuous Dynamical Systems Series A American Institute of Mathematical Sciences   40 ( 6 )   2020.06

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    Kind of work:Single Work  

  • Bifurcating solutions of a nonlinear Elliptic Neumann Problem on Large Spherical Caps Reviewed

    Catherine Bandle, Yoshitsugu Kabeya, Hirokazu Ninomiya

    Funkcialaj Ekvacioj 雑誌 関数方程式刊行会   62 ( 3 )   2019.12

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    Kind of work:Joint Work  

  • Hot spots of solutions to the heat equation with inverse square potential. Reviewed

    Kazuhiro Ishige, Yoshitsugu Kabeya, Asato Mukai

    Applicable Analysis 雑誌 Taylor and Francis   98 ( 10 )   2019.08

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    Kind of work:Joint Work  

  • he heat kernel of a Schrödinger operator with inverse square potential Reviewed

    Kazuhiro Ishige, Yoshitsugu Kabeya, El Maati Ouhabaz

    Proceedings of theLondon Mathematical Society The London Mathematical Society   115 ( 2 )   2017.06

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    Kind of work:Joint Work  

  • Solutions to the equation of the scalar-field type on a large spherical cap

    Yoshitsugu Kabeya

    RIMS Kokyuroku 雑誌 RIMS, Kyoto University   1974   27 - 43   2015.11

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    Kind of work:Single Work  

  • Eigenvalues of the Laplace-Beltrami operator on a large spherical cap under the Robin problem Reviewed

    Yoshitsugu Kabeya, Tatsuki Kawakami, Atsushi Kosaka, Hirokazu Ninomiya

    Kodai Mathematical Journal 雑誌 Tokyo Institute of Technology   37 ( 2 )   2014.08

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    Kind of work:Single Work  

  • Existence and uniqueness of singular solutions for elliptic equation on the hyperbolic space Reviewed

    Y. Kabeya, Y.-L Wu, C.-Y. Chen, J.-L. Chern

    Communications in Pure and Applied Analysis 雑誌   13 ( 1 )   949 - 960   2014.03

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    Kind of work:Joint Work  

  • A unified approach to Matukuma type equations on the hyperbolic space or on a sphere Reviewed

    Y. Kabeya

    Discrete and Continuous Dynamical Systems, Supplement 雑誌   385 - 391   2013.08

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    Kind of work:Single Work  

  • Decay rate of L^q norms of critical Schrodinger heat semigroups Reviewed

    K. Ishige, Y. Kabeya

    Springer INdAM Series 雑誌   2 ( 1 )   165 - 178   2013.03

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    Kind of work:Joint Work  

  • L^p norms of nonnegative Schroedinger heat semigroup and the large time behavior of hot spots Reviewed

    K. Ishige, Y. Kabeya

    Journal of Functional Analysis 雑誌   262 ( 6 )   2695 - 2733   2012.03

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    Kind of work:Joint Work  

  • On the ``radial" solutions of a semilinear elliptic equation in H^N Reviewed

    C. Bandle, Y. Kabeya

    Adv. Nonlinear Anal. 雑誌   1 ( 1 )   2012.03

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    Kind of work:Joint Work  

  • Hot spots for the two dimensional heat equation with a rapidly decaying negative potential Reviewed

    K. Ishige, Y. Kabeya

    Discrete and Continuous Dynamical Systems, Ser. S 雑誌   4   833 - 849   2011.08

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    Kind of work:Joint Work  

  • Imperfect bifurcations in nonlinear elliptic equations on spherical caps Reviewed

    Y. Kabeya, C. Bandle, H. Ninomiya

    Communications in Pure and Applied Analysis 雑誌   9 ( 4 )   1189 - 1208.   2010.08

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    Kind of work:Joint Work  

  • Hot spots for the heat equation with a rapidly decaying negative potential Reviewed

    Y. Kabeya, K. Ishige

    Advances in Differential Equations 雑誌   14 ( 41828 )   643   2009.08

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    Kind of work:Joint Work  

  • Decay rates of the derivatives of the solutions of the heat equations in the exterior domain of a ball Reviewed

    K. Ishige, Y. Kabeya

    Journal of the Mathematical Society of Japan 雑誌   59 ( 3 )   861 - 898   2007.12

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    Kind of work:Joint Work  

  • Multiplicity of positive radial solutions to a higher dimensional scalar-field equation involving the critical Sobolev exponent under the Robin condition Reviewed

    Y. Kabeya、H. Morishita

    Funkcialaj Ekvacioj 雑誌   46 ( 3 )   2006.12

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    Kind of work:Joint Work  

  • Large time behaviors of hot spots for the heat equation with a potential

    Y. Kabeya, K. Ishige

    Journal of Differential Equations 雑誌   244 ( 11 )   2934   2006.12

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    Kind of work:Joint Work  

  • Multiplicity of solutions to a scalar-field equation involving the Sobolev critical exponent with the Robin condition Reviewed

    Y. Kabeya

    Advances in Mathematical Sciences and Aplications 雑誌   16 ( 1 )   189 - 209   2006.06

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    Kind of work:Single Work  

  • Behaviors of solution s to a scalar-field equation involving the critical Sobolev exponent with the Robin condition Reviewed

    Y. Kabeya

    Discrete and Continuous Dynamical Systems 雑誌   14 ( 1 )   117 - 135   2006.01

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    Kind of work:Single Work  

  • Multiplicity of solutions to a scalar-field equation involving the Sobolev critical exponent with the Robin condition, Reviewed

    Y. Kabeya

    Advances in Differential Equations 雑誌   10 ( 10 )   1111 - 1129   2005.10

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    Kind of work:Single Work  

  • Uniqueness and profile of solutions to a superlinear elliptic equation Reviewed

    Y. Kabeya、E. Yanagida

    Advances in Differential Equations 雑誌   9 ( 7 )   771 - 796   2004.10

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    Kind of work:Joint Work  

  • Asymptotic behaviors of least-energy solutions to Matukuma type equations with an inverse square potential Reviewed

    Y. Kabeya

    Hiroshima Mathematical Journal 雑誌   33 ( 1 )   87 - 111   2003.04

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    Kind of work:Single Work  

  • Behavior of least-energy solutions to Matukuma type equations Reviewed

    Y. Kabeya

    Journal of Mathematical Society of Japan 雑誌   54 ( 4 )   937 - 973   2002.12

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    Kind of work:Single Work  

  • Imperfect bifurcations arising from elliptic boundary value problems Reviewed

    Y.Kabeya, H. Morishita, H. Ninomiya

    Nonlinear Analysis 雑誌   48   663 - 684   2002.10

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    Kind of work:Joint Work  

  • Blowup rate of solutions to the Brezis-Nirenberg equations with the Robin condition Reviewed

    Y. Kabeya

    Funkcialaj Ekvacioj 雑誌   45 ( 2 )   291 - 318   2002.08

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    Kind of work:Single Work  

  • Canonical forms and structure theorems for radial solutions to semi-linear elliptic problems Reviewed

    Y.Kabeya, E. Yanagida, S. Yotsutani

    Communications in Pure and Applied Analysis 雑誌   1 ( 1 )   85 - 102   2002.04

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    Kind of work:Joint Work  

  • Global structure of solutions for equations of Brezis-Nirenberg type equations on the unit ball Reviewed

    Y. Kabeya, E.Yanagida, S. Yotsutani

    Proceedings of the Royal Society of Edinburgh, Section A 雑誌   131   647 - 665   2001.08

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    Kind of work:Joint Work  

  • Eigenvalue problems in the whole space with radially symmetric wight Reviewed

    Y. Kabeya 、E. Yanagida

    Communications on Partial Differential Equations 雑誌   24 ( 5 )   1127 - 1166   1999.05

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    Kind of work:Joint Work  

  • Multiple solutions of some quasilinear elliptic equations on ${\bf R}^n$ Reviewed

    Y. Kabeya

    Advances in Mathematical Sciences and Aplications 雑誌   4 ( 1 )   161 - 190   1994.06

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    Kind of work:Joint Work  

  • Existence theorems for quasilinear elliptic problems on ${\bf R}^n$ Reviewed

    Y. Kabeya

    Funkcialaj Ekvacioj 雑誌   35 ( 3 )   603 - 616   1992.12

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    Kind of work:Joint Work  

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Books and Other Publications

  • Introduction to Vector Calculus --From the beginning to tensor analysis

    Yoshitsugu Kabeya, Tatsuki Kawakami( Role: Joint author)

    Kyoritsu Publishing  2019.03  ( ISBN:978-4-320-11375-6

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    Responsible for pages:226  

  • フーリエ解析と偏微分方程式入門

    壁谷喜継( Role: Sole author)

    共立出版株式会社  2010.12 

Presentations

  • Structure of positive solutions to a Choquard-type elliptic system with a potential term Invited International coauthorship International conference

    Yoshitsugu Kabeya

    2024 Japan-Korea Workshop on Nonlinear PDEs and Its Applications  2024.01  Hiroshima University

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    Venue:Hagashi-Hiroshima  

  • Structure of positive solutions to an elliptic system of a Choquard type elliptic system with a potential Invited International coauthorship International conference

    Yoshitsugu Kabeya

    RIMS Conference  2023.10  Research Institute of Mathematical Science, Kyoto University

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    Presentation type:Oral presentation (invited, special)  

    Venue:Kyoto  

  • Structure of positive solutions to an elliptic system of the Choquard type with a potential Invited International coauthorship International conference

    Yoshitsugu Kabeya

    Functional Inequalities and Asymptotic Analysis of Nonlinear Elliptic Equations  2023.07  Osaka Metropolitan University

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    Presentation type:Oral presentation (invited, special)  

    Venue:Osaka  

  • Bifurcations and Imperfect bifurcations of solutions to the scalar-field type elliptic equation under the Robin condition Invited International coauthorship International conference

    Yoshitsugu Kabeya

    13th AIMS Conference at Wilmington 2023  2023.06  American Institute of Mathematical Sciences

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    Presentation type:Oral presentation (invited, special)  

    Venue:UNiversity of North Carolina, Wilmington  

  • Positive geodesic solutions with singularity at the two poles on the unit sphere Invited International coauthorship International conference

    Yoshitsugu Kabeya

    13th AIMS Conference at Wilmington 2023  2023.05  American Institute of Mathematical Sciences

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    Presentation type:Oral presentation (invited, special)  

    Venue:UNiversity of North Carolina, Wilmington  

  • Behavior of the torsion function on a large spherical cap Invited International conference

    Yoshitsugu Kabeya

    2019 International Workshop on PDEs and Its Applications  2019.11  PUsan University

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    Presentation type:Poster presentation  

  • Behavior of the torsion function on a large spherical cap Invited International conference

    Yoshitsugu Kabeya

    International Wrokshop on Elliptic and Parabolic Differential Equations  2019.10  Ryukoku University

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    Presentation type:Poster presentation  

  • Structure of solutions to nonlinear elliptic equations having the inverse square potential Invited International conference

    Yoshitsugu Kabeya

    4th Swiss-Japanese PDE Seminar  2019.08  Osaka Prefecture Unviersity, TOkyo Institute of Technology and Ecole Polytechnique Federale de Lausanne

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    Presentation type:Poster presentation  

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Outline of collaborative research (seeds)

  • Partial Differential Equations and related topics

Grant-in-Aid for Scientific Research

  • 非コンパクト型変分問題の爆発・消失現象と領域・作用素の特異幾何構造の相関

    Grant-in-Aid for Scientific Research(B)  2026

  • 非コンパクト型変分問題の爆発・消失現象と領域・作用素の特異幾何構造の相関

    Grant-in-Aid for Scientific Research(B)  2025

  • 非コンパクト型変分問題の爆発・消失現象と領域・作用素の特異幾何構造の相関

    Grant-in-Aid for Scientific Research(B)  2024

Charge of on-campus class subject

  • 数学特別研究2A

    2024   Intensive lecture   Graduate school

  • 数学特別研究1A

    2024   Intensive lecture   Graduate school

  • 数学概論B

    2024   Weekly class   Graduate school

  • 数学特別研究5A

    2024   Intensive lecture   Graduate school

  • 数学特別研究4A

    2024   Intensive lecture   Graduate school

  • 数学特別研究3A

    2024   Intensive lecture   Graduate school

  • ベクトル解析

    2024   Weekly class   Graduate school

  • 常微分方程式

    2024   Weekly class   Graduate school

  • Research Proposal Seminar II

    2021    

  • Research Proposal Seminar I

    2021    

  • Graduate Research VB

    2021    

  • Graduate Research VA

    2021    

  • Graduate Research IVB

    2021    

  • Graduate Research IVA

    2021    

  • Graduate Research IIIB

    2021    

  • Graduate Research IIIA

    2021    

  • Research Proposal Seminar II

    2021    

  • Research Proposal Seminar II

    2021    

  • Advanced Topics in Mathematical Science D

    2021    

  • Advanced Topics in Mathematical Science C

    2021    

  • Graduate Research IIA

    2021    

  • Graduate Research IIA

    2021    

  • Graduate Research IB

    2021    

  • Graduate Research IA

    2021    

  • Research Proposal Seminar I

    2021    

  • Research Proposal Seminar I

    2021    

  • Undergraduate Research

    2021    

  • Undergraduate Seminar II

    2021    

  • Undergraduate Seminar I

    2021    

  • Special Topics in Mathematical Systems Engineering A

    2021    

  • Calculus II

    2021    

  • Vector Analysis

    2021    

  • Partial Differential Equations

    2021    

  • Mathematical Analysis A

    2021    

  • Functional Equations II

    2021    

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Number of instructed thesis, researches

  • 2023

    Number of instructed the graduation thesis:Number of graduation thesis reviews:0

    [Number of instructed the Master's Program] (previous term):[Number of instructed the Master's Program] (letter term):0

    [Number of master's thesis reviews] (chief):[Number of master's thesis reviews] (vice-chief):2

    [Number of doctoral thesis reviews] (chief):[Number of doctoral thesis reviews] (vice-chief):0

  • 2022

    Number of instructed the graduation thesis:

    [Number of instructed the Master's Program] (previous term):[Number of instructed the Master's Program] (letter term):0

    [Number of master's thesis reviews] (chief):[Number of master's thesis reviews] (vice-chief):2

  • 2021

    Number of instructed the graduation thesis:

    [Number of instructed the Master's Program] (previous term):

    [Number of master's thesis reviews] (chief):[Number of master's thesis reviews] (vice-chief):3

Visiting Lectures ⇒ Link to the list of Visiting Lectures

  • 動物の模様の数理

    Category:Literature (literature, philosophy, history, art, human behavior, language, culture, society / gender), Science (mathematics, physics, chemistry, biology, geology, biochemistry)

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    Audience:High school students, College students, Teachers, Researchers, General, Company, Civic organization

    Keyword:反応拡散方程式系,活性因子・抑制因子 

    動物の模様形成にどのように数学が関わっているかを解説します.

  • カーナビとアインシュタインと数学

    Category:Literature (literature, philosophy, history, art, human behavior, language, culture, society / gender), Science (mathematics, physics, chemistry, biology, geology, biochemistry)

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    Audience:High school students, College students, Teachers, Researchers, General, Company, Civic organization

    Keyword:一般相対性理論,ダイクストラ法 

    カーナビと数学の関係

  • 数の歴史

    Category:Literature (literature, philosophy, history, art, human behavior, language, culture, society / gender), Science (mathematics, physics, chemistry, biology, geology, biochemistry)

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    Audience:High school students, College students, Teachers, Researchers, General, Company, Civic organization

    Keyword:代数的数, 超越数, 一般相対性理論, 多様体 

    「数の歴史」に関しては、10進法と外国語での数字の数え方、数の概念の発展の歴史、無理数π、自然対数の底eの発見と、現代的実数概念の確立までをお話しします。 「カーナビとアインシュタインと数学」では、カーナビの位置特定技術に アインシュタインの一般相対性理論が使われていることの解説と、その背後にある数学に関してお話をします。

Foreigner acceptance

  • 2023

    foreigners accepted :0

    International Students :0

  • 2022

    foreigners accepted :2

    International Students :0

  • 2021

    foreigners accepted :1

    International Students :0

Job title

  • Job title within the department

    School of Science Department of Mathematics 

    2022.04 - 2023.03