Rchr

J-GLOBAL ID：200901090443518573 Update date: Oct. 02, 2024

Ozawa Tohru

オザワトオル | Ozawa Tohru

Affiliation and department：
Job title： Professor
Homepage URL (1)： http://www.ozawa.phys.waseda.ac.jp/index2.html

Research field (2)： Basic analysis , Mathematical analysis

Research keywords (3)： Mathematical Physics , Harmonic Analysis , Nonlinear Partial Differential Equations

Research theme for competitive and other funds (35)：

2024 - 2029 波動場の臨界相互作用の解析
2019 - 2024 古典場の理論における微分型相互作用の数学解析
2018 - 2024 Research on Dispersive Equations and Harmonic Analysis
2017 - 2022 Construction of Mathematical Theory of 2 phase fluid flows
2017 - 2022 Variational study of non-local nonlinear elliptic equations

2016 - 2020 Study on null forms in global space-time in the framework of equalities

2016 - 2019 Modeling of complex fluid phenomena, investigation of multiscale structures and numerical analysis

2016 - 2019 Conjectures associated with Brascamp-Lieb type inequalities

2014 - 2019 Mathematical Analysis of Critical Interactions in Classical Fields

2013 - 2018 Variational study of nonlinear elliptic problems

2012 - 2017 Mathematical Theory of turbulence by the method of modern analysis and computational science

2012 - 2017 Construction of mathematical theory to investigate the macro structure and the mesostructure of the fluid motion

2014 - 2016 New Frontiers in Kinetic Equation Theory

2013 - 2016 Study on oscillation and singularity in mass resonance

2012 - 2015 Study for hierarchical structure underlying between hyperbolicity and parabolicity

2009 - 2014 Studies on a unified point of view on global theories of nonlinear elliptic equations

2011 - 2012 Study on asymmetry and anisotropy in blow-up theory for nonlinear parabolic equations

2009 - 2012 Synthetic study of nonlinear evolution equation and its related topics

2008 - 2011 A comprehensive study of nonlinear problems via variational approaches

2004 - 2008 Geometry and Analysis of Wave Fields

2004 - 2007 Integrated Study for Nonlinear Evolution Equations and Nonlinear Elliptic Equations

2004 - 2006 A characterization of weighted Sobolev spaces and its applications

2004 - 2006 非線型偏微分方程式と調和解析の緒問題の研究

2002 - 2004 Inverse Problems for the Family of Wave Equations

2001 - 2003 GEOMETRY AND ANALYSIS FOR WAVE FIELDS

2001 - 2002 Research on the multi-linear harmonic analysis

1999 - 2001 Study of harmonic analysis and applications to partial differential equations

1997 - 2000 Functional analytic study on global structures of nonlinear fields

1996 - 1997 Geometry and Analysis of non-linear Partial Differentail Equations

1996 - 1996 非線形散乱の長距離理論

1995 - 1995 長波・短波共鳴相互作用の数理

1993 - 1995 Analysis on Nonlinear Partial Differential Equations

1994 - 1994 シュタルク効果のシュレディンガー作用素に対するスペクトル・散乱理論

1993 - 1993 古典場理論に現れる非線型偏微分方程式に対する散乱理論

1989 - 1989 重みのついたSobolev空間におけるSchrödinger時間発展作用素の解析

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Papers (258)：

Rémi Carles, Masayuki Hayashi, Tohru Ozawa. Low regularity solutions to the logarithmic Schrödinger equation. Pure and Applied Analysis. 2024. 6. 3. 859-871
Andreas Chatziafratis, Tohru Ozawa. New instability, blow-up and break-down effects for Sobolev-type evolution PDE: asymptotic analysis for a celebrated pseudo-parabolic model on the quarter-plane. Partial Differential Equations and Applications. 2024. 5. 5
Tohru Ozawa, Taiki Takeuchi. A new proof of the Gagliardo-Nirenberg and Sobolev inequalities: Heat semigroup approach. Proceedings of the American Mathematical Society, Series B. 2024. 11. 33. 371-377
Masayuki Hayashi, Tohru Ozawa. The Cauchy Problem for the Logarithmic Schrödinger Equation Revisited. Annales Henri Poincaré. 2024
Jishan Fan, Tohru Ozawa. A note on 2D Navier-Stokes system in a bounded domain. AIMS Mathematics. 2024. 9. 9. 24908-24911

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MISC (4)：

Machihara Shuji, Ozawa Tohru, Wadade Hidemitsu. Remarks on the Caffarelli-Kohn-Nirenberg inequalities of the logarithmic type (関数空間の構造とその周辺). 数理解析研究所講究録. 2017. 2041. 154-161
Machihara Shuji, Nakamura Makoto, Ozawa Tohru. Small global solutions for the nonlinear Dirac equation (Harmonic Analysis and Nonlinear Partial Differential Equations). RIMS Kokyuroku. 2004. 1388. 81-87
Nakanishi Kenji, Ozawa Tohru. Scattering problem for nonlinear Schrodinger and Hartree equations (Tosio Kato's Method and Principle for Evolution Equations in Mathematical Physics). RIMS Kokyuroku. 2001. 1234. 105-112
Ozawa Tohru, Tsutaya Kimitoshi, Tsutsumi Yoshio. Normal form and global solutions for the Klein-Gordon-Zakharov equations(Nonlinear Evolution Equations and Their Applications). RIMS Kokyuroku. 1995. 898. 94-103

Books (16)：

Qualitative properties of solutions to nonlinear parabolic problems: In honor of Professor Eiji Yanagida on the occasion of his 65th birthday
SN Partial Differential Equations and Applications 2023
Collected papers in honor Yoshihiro Shibata
Birkhäuser, Springer 2023 ISBN:9783031192517
Mathematical Fluid Mechanics and Related Topics: In Honor of Professor Hideo Kozono’s 60th Birthday
SN Partial Differential Equations and Applications 2022
Viscosity solutions - Dedicated to Hitoshi Ishii on the award of the 1st Kodaira Kunihiko Prize
SN Partial Differential Equations and Applications 2022
The role of metrics in the theory of partial differential equations, Advanced Studies in Pure Mathematics, 85
Mathematical Society of Japan 2020 ISBN:9784864970907

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Lectures and oral presentations (92)：

Proof of the Brezis-Gallouet inequality via heat semigroup
(INdAM Workshop "Future Perspectives on Perturbative Linear and Nonlinear Modelling of Contact-Type Perturbations" 2024)
ガリアルド・ニーレンバーグの不等式の熱半群による証明
(大阪公立大学数学研究所(OCAMI)共同利用研究集会 2024)
Basic inequalities in the framework of equalities
(“Analysis and Applied Mathematics” Weekly Online Seminar 2024)
Embedding inequalities by the heat semigroup approach
(SDU life Workshop 2024)
Evolution equation with logarithmic nonlinearity
(Analysis Seminar 2024)

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Education (7)：

1988 - Kyoto University Graduate School of Science
1986 - 京都大学大学院理学研究科数理解析専攻博士課程進学
1986 - Kyoto University Graduate School of Science
1984 - 京都大学大学院理学研究科数理解析専攻修士課程入学
1984 - 早稲田大学理工学部物理学科卒業 (応用物理学科飯野理一・堤正義研究室)

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Professional career (1)：

Doctor of Science (Kyoto University)

Work history (8)：

2008/09 - 現在 Waseda University Faculty of Science and Engineering
2008 - 現在大学院先進理工学研究科物理学及応用物理学専攻担当
2008 - 現在大学院基幹理工学研究科数学応用数理専攻兼担現在に至る
1995/04 - 北海道大学大学院理学研究科教授(数学専攻数理解析学講座)
1993/04 - Hokkaido University School of Science

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Committee career (39)：

2021 - 現在核融合科学研究所運営会議委員
2021 - 2023 日本学術会議物理学委員会物性物理学・一般物理学分科会プラズマサイエンス小委員会副委員長
2021 - 2023 日本学術会議数理科学委員会数学分科会委員長
2021 - 2023 東京理科大学総合研究機構アドバイザリー委員会委員
2020 - 2023 日本学術会議数理科学委員会委員長

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Awards (2)：

1998/03 - Spring Prize (Mathematical Society of Japan)
1984/03 - Furukawa Sansui Prize (Furukawa Group)

Association Membership(s) (3)：

International Society for Analysis, its Applications and Computation (ISAAC) , American Mathematical Society (AMS) , Mathematical Society of Japan (MSJ)

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