Specialities

Mathematical analysis

Speciality Keywords

Variational Problems

Research Themes

Books

Papers

• 　Two-step minimization approach to an $L^\infty$-constrained variational problem with a generalized potential　Vina Apriliani, Masato Kimura, and Hiroshi Ohtsuka　Sci.Rep.Kanazawa Univ.　67　57--68　12pp.　2024/06　?
• 　Two-step minimization approach to Sobolev-type inequality with bounded potential in 1D　Vina Apriliani, Masato Kimura, and Hiroshi Ohtsuka　J. Math. Inequal. 　9　333--352　20pp.　2025/03　?
• 　Ageneralized averaging of a function and characterization of Sobolev spaces on the sphere　Ikhsan Maulidi and Hiroshi Ohtsuka　Sci.Rep.Kanazawa Univ.　68　1--9　9pp.　2025/02　?
• 　Refinement of asymptotic behavior of the eigenvalues for the linearized Liouville-Gel'fand Problem　Hiroshi Ohtsuka and Tomohiko Sato　Nonlinear Analysis. Theory, Methods & Applications. An International Multidisciplinary Journal　240　Paper No. 113464　9pp.　2024/03　
• 　On the derivation of the mean field equation of the Gibbs distribution function for equilibrium vortices in an external field　Hiroshi Ohtsuka　Kôkyûroku Bessatsu　B82　67--85　2020/04

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Conference Presentations

• Refinement of asymptotic behavior of the eigenvalues for the linearized Liouville-Gel’fand problem(2024/09/19)
• Refinement of asymptotic behavior of the eigenvalues for the linearized Liouville-Gel’fand problem(2025/02/08)
• ゲルファント問題を導く汎関数の構造について(2025/03/08)
• On the functional that leads to the Gel'fand problem(2024/12/22)
• Refinement of asymptotic behavior of the eigenvalues for the linearized Liouville-Gel'fand problem(2024/03/14)

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Others

• 　Hydrodynamic boundary value problem of mean field equations on annular domains　Hiroshi Ohtsuka　Elsevier Ltd　2251　74-82　2023/05
• 　On the fine behaviors of the eigenvalues of the linearized Gel'fand problem and its applications　Hiroshi Ohtsuka　1974　53-67　2015/11

Arts and Fieldwork

Patent

Theme to the desired joint research

○Variational Problems

Grant-in-Aid for Scientific Research

○Grant-in-Aid for Scientific Research (C)「凝集系の視点による非線形楕円型偏微分方程式の解の解析」(2024-2027)　
○Grant-in-Aid for Scientific Research (C)「平均場方程式の解の線形応答に関する数理解析」(2020-2023)　
○Fund for the Promotion of Joint International Research (Fostering Joint International Research (B))「エネルギー勾配流の新潮流：数学理論が開く多様な現象と応用の世界」(2020-2024)　
○「非線形楕円型方程式の線形化問題に関する新展開」(2015-2019)　
○「近平衡数理モデルの解析的研究」(2014-2018)　
○「平衡点渦系の平均場と点渦系の関連の探求」(2010-2014)

Competitive research funding,Contribution

Collaborative research,Consignment study

Classes (Bachelors)

○Advanced Calculus 1B(2024)
○Advanced Calculus 1A(2024)
○Basic Exercise in Mathematics and Physics B(2024)
○Basic Exercise in Mathematics and Physics A(2024)
○Introduction to Region-studies(2024)
○Linear Algebra 1B(2024)
○Linear Algebra 1A(2024)
○Analysis 4(2023)
○Basic Exercise in Mathematics and Physics B(2023)
○Basic Exercise in Mathematics and Physics A(2023)
○Introduction to Region-studies(2023)
○Basic Exercise in Mathematics and Physics A(2022)
○Basic Exercise in Mathematics and Physics B(2022)
○Analysis 4(2022)
○Introduction to Region-studies(2022)
○Differential and Integral Calculus 1B(2022)
○Differential and Integral Calculus 1A(2022)
○Differential and Integral Calculus 1A(2020)
○Differential and Integral Calculus 1B(2020)
○Advanced Calculus 3A(2020)
○Analysis 4(2020)
○Exercise in Mathematics and Physics B(2020)
○Exercise in Mathematics and Physics A(2020)
○Advanced Calculus 3A(2019)
○Analysis 4(2019)
○Differential and Integral Calculus 1(2019)
○Freshman Seminar I(2018)
○Introduction to Region-studies(2018)
○Analysis 4C(2018)
○Differential and Integral Calculus 1(2018)
○Community learning "Super" Experience Program(2017)
○Analysis 2A(2017)
○Analysis 2B(2017)
○Analysis 4C(2017)
○Advanced Calculus 1A(2017)
○Advanced Calculus 1B(2017)
○Differential and Integral Calculus 1(2016)
○Analysis 2B(2016)
○Analysis 2A(2016)

Classes (Graduate Schools)

○Topics in Many Particle Systems(2024)
○Topics in Many Particle Systems(2024)
○Special Topics in Mathematical Physics(2023)
○Topics on Mathematical and Data Science B(2020)
○Topics on Mathematical and Data Science A(2020)
○Analysis IIa(2020)
○Analysis IIb(2020)