Updated on 2025/01/23

Information

 

写真a

 
TAKASE HIROSHI
 
Organization
Institute of Mathematics for Industry Division of Applied Mathematics Assistant Professor
School of Sciences Department of Mathematics(Concurrent)
Graduate School of Mathematics Department of Mathematics(Concurrent)
School of Engineering (Concurrent)
Title
Assistant Professor
Contact information
メールアドレス
Tel
0928024431
Profile
偏微分方程式の逆問題解析に関する研究を行っている.

Research Areas

  • Natural Science / Mathematical analysis

Degree

  • Ph.D. (Mathematical Sciences)

Research History

  • Kyushu University Institute of Mathematics for Industry Assistant Professor

    2022.4 - Present

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Education

  • The University of Tokyo   Graduate School of Mathematical Sciences

    2017.4 - 2022.3

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Research Interests・Research Keywords

  • Research theme:Inverse Problems

    Keyword:Inverse Problems

    Research period: 2024

  • Research theme:Geometric Analysis

    Keyword:Geometric Analysis

    Research period: 2024

  • Research theme:Partial Differential Equations

    Keyword:Partial Differential Equations

    Research period: 2024

  • Research theme:Inverse problems for partial differential equations

    Keyword:Inverse problems, partial differential equations

    Research period: 2022.4 - 2023.5

Awards

  • Best Presentation Award

    2024.11   East Asia Section of Inverse Problems International Association   Lipschitz stability for Cauchy problems of elliptic equations and applications to evolution equations

    Hiroshi Takase

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    Award type:Award from international society, conference, symposium, etc.  Country:China

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  • 研究科長賞

    2022.3   東京大学大学院数理科学研究科  

  • 研究科長賞

    2022.3   東京大学大学院数理科学研究科  

    髙瀬裕志

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  • 研究科長賞

    2019.3   東京大学大学院数理科学研究科  

Papers

  • Global Lipschitz stability for inverse problems of wave equations on Lorentzian manifolds Reviewed

    Hiroshi Takase

    Journal of Differential Equations   372   564 - 590   2023.11   ISSN:0022-0396 eISSN:1090-2732

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1016/j.jde.2023.07.001

    Web of Science

    Scopus

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  • A Carleman estimate and an energy method for a first-order symmetric hyperbolic system Reviewed

    Giuseppe Floridia, Hiroshi Takase, Masahiro Yamamoto

    Inverse Problems and Imaging   16 ( 5 )   1163 - 1178   2022.8   ISSN:1930-8337 eISSN:1930-8345

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    Language:Others   Publishing type:Research paper (scientific journal)   Publisher:American Institute of Mathematical Sciences ({AIMS})  

    <jats:p xml:lang="fr">&lt;p style='text-indent:20px;'&gt;For a symmetric hyperbolic system of the first order, we prove a Carleman estimate under some positivity condition concerning the coefficient matrices. Next, applying the Carleman estimate, we prove an observability &lt;inline-formula&gt;&lt;tex-math id="M1"&gt;\begin{document}$ L^2 $\end{document}&lt;/tex-math&gt;&lt;/inline-formula&gt;-estimate for initial values by boundary data.&lt;/p&gt;</jats:p>

    DOI: 10.3934/ipi.2022016

    Web of Science

    Scopus

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  • Inverse source problem related to one-dimensional Saint-Venant equation Reviewed

    Hiroshi Takase

    Applicable Analysis   101 ( 1 )   35 - 47   2022.1   ISSN:00036811

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    Language:Others   Publishing type:Research paper (scientific journal)  

    DOI: 10.1080/00036811.2020.1727893

    Scopus

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  • Observability inequalities for degenerate transport equations Reviewed

    Giuseppe Floridia, Hiroshi Takase

    Journal of Evolution Equations   21 ( 4 )   5037 - 5053   2021.12

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    Language:Others   Publishing type:Research paper (scientific journal)  

    DOI: 10.1007/s00028-021-00740-z

  • Inverse problems for first-order hyperbolic equations with time-dependent coefficients Reviewed

    Giuseppe Floridia, Hiroshi Takase

    Journal of Differential Equations   305   45 - 71   2021.12

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    Language:Others   Publishing type:Research paper (scientific journal)  

    DOI: 10.1016/j.jde.2021.10.007

  • クローキングと波動方程式のコーシー問題の非一意性 Reviewed

    髙瀬裕志

    数理科学実践研究レター2021   LMSR2021 ( 7 )   2021.8

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    Language:Others  

  • Infinitely many non-uniqueness examples for Cauchy problems of the two-dimensional wave and Schrödinger equations Reviewed

    97 ( 7 )   45 - 50   2021.7

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    Language:Others   Publishing type:Research paper (scientific journal)  

    DOI: 10.3792/pjaa.97.009

  • Inverse source problem for a system of wave equations on a Lorentzian manifold Reviewed

    Hiroshi Takase

    Communications in Partial Differential Equations   45 ( 10 )   1414 - 1434   2020.10

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    Language:Others   Publishing type:Research paper (scientific journal)  

    DOI: 10.1080/03605302.2020.1774897

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Presentations

  • Lipschitz stability for Cauchy problems of elliptic equations and applications to evolution equations Invited

    Hiroshi Takase

    The 8th Young Scholar Symposium, East Asia Section of Inverse Problems International Association  2024.11 

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    Event date: 2024.11

    Language:English   Presentation type:Oral presentation (general)  

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  • Lipschitz stability estimate for an inverse problem related to unique continuation Invited

    Workshop for young scholars Control and inverse problems on waves, oscillations and flows - Mathematical analysis and computational methods -  2024.9 

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    Event date: 2024.9

    Language:Japanese   Presentation type:Oral presentation (general)  

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  • Lipschitz stability for Cauchy problems of elliptic equations Invited

    Hiroshi Takase

    Finland-Japan Workshop in Industrial and Applied Mathematics  2024.8 

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    Event date: 2024.8

    Language:English   Presentation type:Oral presentation (general)  

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  • 楕円型方程式のコーシー問題に対するリプシッツ型安定性 Invited

    髙瀬裕志

    応用数学・数値解析に関する研究会  2024.6 

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    Event date: 2024.6

    Language:Japanese   Presentation type:Oral presentation (general)  

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  • Global Lipschitz stability for inverse problems of waves on Lorentzian manifolds Invited

    Hiroshi Takase

    The 11th International Conference Inverse Problems: Modeling and Simulation  2024.5 

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    Event date: 2024.5 - 2024.6

    Language:English   Presentation type:Oral presentation (general)  

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  • Inverse source problems for wave equations with inverse square potentials Invited

    Hiroshi Takase

    2024 Japan-Taiwan Joint Workshop on Numerical Analysis and Inverse Problems  2024.3 

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    Event date: 2024.3

    Language:English  

    Country:Other  

  • Inverse source problems for wave equations with inverse square potentials Invited

    Hiroshi Takase

    2024 Japan-Taiwan Joint Workshop on Numerical Analysis and Inverse Problems  2024.3 

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    Event date: 2024.3

    Language:English   Presentation type:Oral presentation (general)  

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  • Inverse source problems for wave equations with inverse square potentials Invited

    Hiroshi Takase

    The 41th Kyushu Symposium on Partial Differential Equations  2024.1 

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    Event date: 2024.1

    Language:English  

    Country:Other  

  • Inverse source problems for wave equations with inverse square potentials Invited

    Hiroshi Takase

    The 41th Kyushu Symposium on Partial Differential Equations  2024.1 

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    Event date: 2024.1

    Language:English   Presentation type:Oral presentation (general)  

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  • Lipschitz stability for inverse source problems of waves on Lorentzian manifolds

    Hiroshi Takase

    11th Applied Inverse Problems Conference  2023.9 

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    Event date: 2023.9

    Language:English  

    Country:Other  

  • Lipschitz stability for inverse source problems of waves on Lorentzian manifolds

    Hiroshi Takase

    11th Applied Inverse Problems Conference  2023.9 

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    Event date: 2023.9

    Language:English   Presentation type:Oral presentation (general)  

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  • Unique continuation for wave equations in asymptotically anti-de Sitter spaces Invited

    Hiroshi Takase

    10th International Congress on Industrial and Applied Mathematics (ICIAM 2023)  2023.8 

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    Event date: 2023.8

    Language:English  

    Country:Other  

  • Unique continuation for wave equations in asymptotically anti-de Sitter spaces Invited

    Hiroshi Takase

    10th International Congress on Industrial and Applied Mathematics (ICIAM 2023)  2023.8 

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    Event date: 2023.8

    Language:English   Presentation type:Oral presentation (general)  

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  • Inverse problems for first-order hyperbolic equations

    Hiroshi Takase

    The 59th ANZIAM Conference  2023.2 

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    Event date: 2023.2

    Language:English  

    Country:Other  

  • Inverse problems for first-order hyperbolic equations

    Hiroshi Takase

    The 59th ANZIAM Conference  2023.2 

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    Event date: 2023.2

    Language:English   Presentation type:Oral presentation (general)  

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  • Unique continuation for wave equations in asymptotically anti-de Sitter spaces Invited

    Hiroshi Takase

    2022.12 

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    Event date: 2022.12

    Language:English  

    Country:Other  

  • Unique continuation for wave equations in asymptotically anti-de Sitter spaces Invited

    Hiroshi Takase

    Workshop “Recent advances in direct and inverse problems for PDEs and applications”  2022.12 

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    Event date: 2022.12

    Language:English   Presentation type:Oral presentation (general)  

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  • Unique continuation for wave equations in asymptotically anti de Sitter spaces Invited

    2022.11 

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    Event date: 2022.11

    Language:Others  

    Country:Other  

  • Unique continuation for wave equations in asymptotically anti de Sitter spaces Invited

    髙瀬裕志

    若手研究集会「波動・振動・流れの制御と逆問題 理論と数値計算 」  2022.11 

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    Event date: 2022.11

    Presentation type:Oral presentation (general)  

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  • 一階対称双曲型方程式における波源項決定逆問題 Invited

    髙瀬裕志

    日本応用数理学会年会  2022.9 

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    Event date: 2022.9

    Language:Others  

    Country:Other  

  • 一階対称双曲型方程式における波源項決定逆問題 Invited

    髙瀬裕志

    日本応用数理学会年会  2022.9 

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    Event date: 2022.9

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  • Inverse source problems for wave equations on Lorentzian manifolds Invited

    Hiroshi Takase

    2022.5 

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    Event date: 2022.5

    Language:Others  

    Country:Other  

  • Inverse source problems for wave equations on Lorentzian manifolds Invited

    Hiroshi Takase

    10th International Conference “Inverse Problems: Modeling and Simulation”  2022.5 

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    Event date: 2022.5

    Presentation type:Oral presentation (general)  

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  • Inverse problems for wave equations with time-dependent principal parts Invited

    Hiroshi Takase

    2022.1 

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    Event date: 2022.1

    Language:English  

    Country:Other  

  • Inverse problems for wave equations with time-dependent principal parts Invited

    Hiroshi Takase

    RIMS Workshop on “Theory and practice in inverse problems”  2022.1 

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    Event date: 2022.1

    Language:English   Presentation type:Oral presentation (general)  

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  • Observability inequalities for advection equations Invited

    Hiroshi Takase

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    Event date: 2021.12

    Language:English  

    Country:Other  

  • Inverse problems for first-order hyperbolic equations

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    Event date: 2021.9

    Language:Japanese  

    Country:Other  

  • Inverse problems through Carleman estimates for first-order hyperbolic equations Invited

    Hiroshi Takase

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    Event date: 2021.9

    Language:English  

    Country:Other  

  • Inverse problems for first-order hyperbolic equations Invited

    Hiroshi Takase

    Analysis and Numerics of Design, Control and Inverse Problems 

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    Event date: 2021.7

    Language:English  

    Country:Other  

  • Inverse source problem for a system of wave equations on Lorentzian manifolds

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    Event date: 2021.3

    Language:Japanese  

    Country:Other  

  • Inverse problems for general first-order hyperbolic equations Invited

    Hiroshi Takase

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    Event date: 2020.12

    Language:English  

    Country:Other  

  • Inverse source problem for Klein–Gordon equation in de Sitter space-time

    RIMS Workshop on “Analysis of inverse problems through partial differential equations and related topics” 

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    Event date: 2020.1

    Language:English  

    Country:Other  

  • Uniqueness and stability for inverse hyperbolic problems by an internal observation

    Hiroshi Takase

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    Event date: 2019.11

    Language:English  

    Country:Other  

  • 双曲型逆問題における内部境界観測に対する大域リプシッツ安定性

    髙瀬裕志

    第41回発展方程式若手セミナー 

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    Event date: 2019.8

    Language:Japanese  

    Country:Other  

  • Global Lipschitz stability by an internal subboundary observation for inverse hyperbolic problems

    Hiroshi Takase

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    Event date: 2019.7

    Language:English  

    Country:Other  

  • Inverse source problem for the gravitational waves in general relativity

    Hiroshi Takase

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    Event date: 2019.3

    Language:English  

    Country:Other  

  • Inverse source problem for the gravitational waves

    Hiroshi Takase

    Inverse problems for partial differential equations and related areas 

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    Event date: 2019.1

    Language:English  

    Country:Other  

  • Inverse source problem related to the gravitational waves in general relativity

    Hiroshi Takase

    Analysis, Control and Inverse Problems for PDEs 

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    Event date: 2018.11

    Language:English  

    Country:Other  

  • Inverse source problem related to the gravitational waves in general relativity

    Hiroshi Takase

    International Conference on Inverse Problems 

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    Event date: 2018.10

    Language:English  

    Country:Other  

  • 重力波源決定逆問題

    髙瀬裕志

    第40回発展方程式若手セミナー 

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    Event date: 2018.8 - 2018.9

    Language:Japanese  

    Country:Other  

  • Inverse source problem of gravitational wave in general relativity

    Hiroshi Takase

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    Event date: 2018.8

    Language:English  

    Country:Other  

  • Inverse source problem related to the gravitational wave in general relativity

    Hiroshi Takase

    The 9th International Conference on Inverse Problems and Related Topics 

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    Event date: 2018.8

    Language:English  

    Country:Other  

  • Inverse problem related to the St. Venant equation for one dimensional water flow

    Hiroshi Takase

    The 3rd Winter School on Computational Science and Machine Learning 

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    Event date: 2018.1

    Language:English  

    Country:Other  

  • Inverse problem related to the St. Venant equation for one dimensional water flow

    Hiroshi Takase

    A3 Workshop on Applied Inverse Problems and Related Topics 

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    Event date: 2017.11

    Language:English  

    Country:Other  

  • Inverse problem related to the St. Venant equation for one dimensional water flow

    Hiroshi Takase

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    Event date: 2017.11

    Language:English  

    Country:Other  

  • Inverse problem related to the St. Venant equation for one dimensional water flow

    Hiroshi Takase

    A3 Workshop on Applied Inverse Problems in 2017 CSIAM Annual Meeting 

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    Event date: 2017.10

    Language:English  

    Country:Other  

  • Global Lipschitz stability for inverse source problems of Lorentzian wave equations Invited

    Hiroshi Takase

    Joint Fudan - RICAM Seminar on Inverse Problems  2023.11 

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    Language:English  

    Country:Other  

  • Inverse problems for wave equations on Lorentzian manifolds Invited

    2020.12 

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    Language:Japanese  

    Country:Other  

  • Inverse source problems for wave equations on Lorentzian manifolds Invited

    2022.7 

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    Language:Others  

    Country:Other  

  • Inverse source problems for symmetric hyperbolic systems of first-order Invited

    2022.6 

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    Language:Others  

    Country:Other  

  • 漸近的アンチドジッター空間における波動方程式の一意接続性 Invited

    髙瀬裕志

    九大幾何学セミナー  2023.4 

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    Language:Japanese  

    Country:Other  

  • 漸近的アンチドジッター空間における波動方程式の一意接続性 Invited

    髙瀬裕志

    九大幾何学セミナー  2023.4 

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    Language:Japanese   Presentation type:Oral presentation (general)  

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  • Inverse source problems for wave equations on Lorentzian manifolds Invited

    髙瀬裕志

    現象数理セミナー  2022.7 

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  • Inverse source problems for symmetric hyperbolic systems of first-order Invited

    髙瀬裕志

    九州関数方程式セミナー  2022.6 

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    Presentation type:Oral presentation (general)  

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  • Global Lipschitz stability for inverse source problems of Lorentzian wave equations Invited

    Hiroshi Takase

    Joint Fudan - RICAM Seminar on Inverse Problems  2023.11 

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    Language:English   Presentation type:Oral presentation (general)  

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Professional Memberships

  • 日本数学会

    2021.4 - Present

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  • 日本数学会

Academic Activities

  • Screening of academic papers

    Role(s): Peer review

    2023

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    Type:Peer review 

    Number of peer-reviewed articles in foreign language journals:2

  • Screening of academic papers

    Role(s): Peer review

    2022

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    Type:Peer review 

    Number of peer-reviewed articles in foreign language journals:2

    Number of peer-reviewed articles in Japanese journals:0

    Proceedings of International Conference Number of peer-reviewed papers:0

    Proceedings of domestic conference Number of peer-reviewed papers:0

Research Projects

Class subject

  • フーリエ解析と偏微分方程式

    2023.10 - 2024.3   Second semester

  • フーリエ・ラプラス変換と偏微分方程式

    2023.10 - 2024.3   Second semester

  • 解析学Ⅱ・演習

    2023.10 - 2024.3   Second semester

  • 解析学Ⅱ・演習

    2022.10 - 2023.3   Second semester

  • フーリエ・ラプラス変換と偏微分方程式

    2022.10 - 2023.3   Second semester

  • フーリエ解析と偏微分方程式

    2022.10 - 2023.3   Second semester

  • フーリエ解析と偏微分方程式

    2024.10 - 2025.3   Second semester

  • フーリエ・ラプラス変換と偏微分方程式

    2024.10 - 2025.3   Second semester

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Outline of Social Contribution and International Cooperation activities

  • ローマ・ラ・サピエンツァ大学のフロリディア准教授と国際共同研究を推進している.