Tanaka Tomoyuki 田中智之

Researcher Number	40891304
Other IDs	https://orcid.org/0000-0002-0902-3765
Affiliation (Current)	2026: 横浜国立大学, 大学院工学研究院, 准教授
Affiliation (based on the past Project Information) *help	2024 – 2025: 横浜国立大学, 大学院工学研究院, 准教授 2023: 同志社大学, 理工学部, 助教
Review Section/Research Field	Principal Investigator Basic Section 12020:Mathematical analysis-related / 0201:Algebra, geometry, analysis, applied mathematics,and related fields
Keywords	Principal Investigator KdV方程式 / 非線形分散型方程式 / 初期値問題の適切性 / Strichartz評価 / 解の一意性 / Strichartz方程式 / 無条件一意性 / シュレディンガー方程式 / ストリッカーツ評価 / 分散型方程式

Research Projects
(2 results)
Research Products
(14 results)

非線形分散型方程式の共鳴現象の解析と初期値問題の適切性Principal Investigator
- Principal Investigator
  
  田中智之
- Project Period (FY)
  2025 – 2027
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Yokohama National University
Analysis on resonant interactions and unconditional uniqueness for dispersive equationsPrincipal Investigator
- Principal Investigator
  
  田中智之
- Project Period (FY)
  2023 – 2025
- Research Category
  
  Grant-in-Aid for Research Activity Start-up
- Review Section
  
  0201:Algebra, geometry, analysis, applied mathematics,and related fields
- Research Institution
  Yokohama National University
  Doshisha University

All 2025 2024 2023

All Journal Article Presentation

[Journal Article] Refined bilinear Strichartz estimates with application to the well-posedness of periodic generalized KdV type equations2025
- Author(s)
  Luc Molinet, Tomoyuki Tanaka
- Journal Title
  
  Journal of Hyperbolic Differential Equations
  
  Volume: -
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K19019
[Journal Article] Remark on the local well-posedness for NLS with the modulated dispersion2025
- Author(s)
  Tanaka Tomoyuki
- Journal Title
  
  Proceedings of the Royal Society of Edinburgh: Section A Mathematics
  
  Volume: - Pages: 1-12
- DOI
  10.1017/prm.2025.16
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23K19019
[Presentation] Refined bilinear Strichartz estimates and application to generalized KdV type equations on the line2025
- Author(s)
  田中智之
- Organizer
  第198回神楽坂解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-23K19019
[Presentation] 双線形ストリッカーツ型評価と一般化KdV方程式への応用2024
- Author(s)
  田中智之
- Organizer
  第124回岐阜数理科学セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-23K19019
[Presentation] Improved bilinear Strichartz estimates and generalized KdV type equations2024
- Author(s)
  田中智之
- Organizer
  名古屋微分方程式セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-23K19019
[Presentation] Refined bilinear Strichartz estimates and application to generalized KdV type equations2024
- Author(s)
  田中智之
- Organizer
  研究集会「微分方程式の総合的研究」
- Invited
- Data Source
  KAKENHI-PROJECT-23K19019
[Presentation] Local well-posedness for derivative nonlinear Schr\"odinger type equations with non-vanishing boundary conditions2024
- Author(s)
  田中智之
- Organizer
  RIMS共同研究「線形および非線形分散型方程式の研究」
- Invited
- Data Source
  KAKENHI-PROJECT-23K19019
[Presentation] 双線形ストリッカーツ型評価と一般化KdV方程式への応用2024
- Author(s)
  田中智之
- Organizer
  大阪大学微分方程式セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-23K19019
[Presentation] Refined bilinear Strichartz estimates and application to generalized KdV type equations on the line2024
- Author(s)
  田中智之
- Organizer
  第101回科学大数理解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-23K19019
[Presentation] Local well-posedness for derivative nonlinear Schrödinger type equations with nonvanishing boundary conditions2023
- Author(s)
  田中智之
- Organizer
  京都大学NLPDEセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-23K19019
[Presentation] Improved bilinear Strichartz estimates with application to the well-posedness of periodic generalized KdV type equations2023
- Author(s)
  田中智之
- Organizer
  数学と現象 in 宮崎
- Invited
- Data Source
  KAKENHI-PROJECT-23K19019
[Presentation] 一般化KdV方程式に対する初期値問題の適切性2023
- Author(s)
  田中智之
- Organizer
  第7回数理新人セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-23K19019
[Presentation] Improved bilinear Strichartz estimates with application to the well-posedness of periodic generalized KdV type equations2023
- Author(s)
  田中智之
- Organizer
  Workshop on nonlinear wave equations and related topics in Kobe
- Invited
- Data Source
  KAKENHI-PROJECT-23K19019
[Presentation] Improved bilinear Strichartz estimates with application to the well-posedness of periodic generalized KdV type equations2023
- Author(s)
  Luc Molinet, 田中智之
- Organizer
  日本数学会2024年度年会
- Data Source
  KAKENHI-PROJECT-23K19019

Tanaka Tomoyuki 田中 智之

Research Projects

Research Products

非線形分散型方程式の共鳴現象の解析と初期値問題の適切性Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Analysis on resonant interactions and unconditional uniqueness for dispersive equationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

[Journal Article] Refined bilinear Strichartz estimates with application to the well-posedness of periodic generalized KdV type equations2025

Author(s)

Journal Title

Data Source

[Journal Article] Remark on the local well-posedness for NLS with the modulated dispersion2025

Author(s)

Journal Title

DOI

Data Source

[Presentation] Refined bilinear Strichartz estimates and application to generalized KdV type equations on the line2025

Author(s)

Organizer

Data Source

[Presentation] 双線形ストリッカーツ型評価と一般化KdV方程式への応用2024

Author(s)

Organizer

Data Source

[Presentation] Improved bilinear Strichartz estimates and generalized KdV type equations2024

Author(s)

Organizer

Data Source

[Presentation] Refined bilinear Strichartz estimates and application to generalized KdV type equations2024

Author(s)

Organizer

Data Source

[Presentation] Local well-posedness for derivative nonlinear Schr\"odinger type equations with non-vanishing boundary conditions2024

Author(s)

Organizer

Data Source

[Presentation] 双線形ストリッカーツ型評価と一般化KdV方程式への応用2024

Author(s)

Organizer

Data Source

[Presentation] Refined bilinear Strichartz estimates and application to generalized KdV type equations on the line2024

Author(s)

Organizer

Data Source

[Presentation] Local well-posedness for derivative nonlinear Schr&#246;dinger type equations with nonvanishing boundary conditions2023

Author(s)

Organizer

Data Source

[Presentation] Improved bilinear Strichartz estimates with application to the well-posedness of periodic generalized KdV type equations2023

Author(s)

Organizer

Data Source

[Presentation] 一般化KdV方程式に対する初期値問題の適切性2023

Author(s)

Organizer

Data Source

[Presentation] Improved bilinear Strichartz estimates with application to the well-posedness of periodic generalized KdV type equations2023

Author(s)

Organizer

Data Source

[Presentation] Improved bilinear Strichartz estimates with application to the well-posedness of periodic generalized KdV type equations2023

Author(s)

Organizer

Data Source

Tanaka Tomoyuki 田中智之

[Presentation] Local well-posedness for derivative nonlinear Schrödinger type equations with nonvanishing boundary conditions2023