KATO Jun 加藤淳

… Alternative Names

加藤淳カトウジュン

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Researcher Number	00432237
Other IDs
Affiliation (Current)	2025: 名古屋大学, 多元数理科学研究科, 准教授
Affiliation (based on the past Project Information) *help	2008 – 2012: 名古屋大学, 多元数理科学研究科, 准教授 2007 – 2012: Nagoya University, 大学院・多元数理科学研究科, 准教授 2006: 名古屋大学, 大学院多元数理科学研究科, 講師
Review Section/Research Field	Principal Investigator Basic analysis Except Principal Investigator Basic analysis
Keywords	Principal Investigator ストリッカーツ評価 / 磁性 / 数理物理 / 実関数論 / 関数方程式論 / シュレディンガー方程式 / 非線型偏微分方程式論 / シュレディンガー写像 / 調和写像分散流 / 関数方程式 / クライン・ゴルドン方程式 … More Except Principal Investigator … More 擬微分作用素 / 平滑化作用 / シュレデインガー方程式 / 非線形問題 / 時空間評価式 / シュレディンガー方程式 / 平滑化効果 / 波動方程式 / モジュレーション空間 / 時空間評価 / 分散型方程式 / 比較原理 / 正準変換 Less

Analysis of properties of solutions to dispersive equations via canonical transforms and comparison principle
- Principal Investigator
  
  SUGIMOTO Mitsuru
- Project Period (FY)
  2008 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Nagoya University
On well-posedness of the Cauchy problem to Schrodinger maps in the energy spacePrincipal Investigator
- Principal Investigator
  
  KATO Jun
- Project Period (FY)
  2008 – 2011
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Basic analysis
- Research Institution
  Nagoya University
ストリッカーツ型時空評価と非線型クライン・ゴルドン方程式系の時間大域可解性Principal Investigator
- Principal Investigator
  
  加藤淳
- Project Period (FY)
  2006 – 2007
- Research Category
  
  Grant-in-Aid for Young Scientists (Start-up)
- Research Field
  
  Basic analysis
- Research Institution
  Nagoya University

All 2012 2011 2010 2009 2008 2007 2006

All Journal Article Presentation

[Journal Article] Endpoint Strichartz estimates for the two dimensional Klein-Gordon equation and some applications2011
- Author(s)
  Jun Kato, Tohru Ozawa
- Journal Title
  
  J. Math. Pures Appl
  
  Volume: 95 Pages: 48-71
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740073
[Journal Article] Endpoint Strichartz estimates for the Klein-Gordon equation in two space dimensions and some applications2011
- Author(s)
  Jun Kato, Tohru Ozawa
- Journal Title
  
  J.Math.Pures Appl.
  
  Volume: 95 Pages: 48-71
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740073
[Journal Article] A new proof of long-range scattering for critical nonlinear Schrodinger equations2011
- Author(s)
  Jun Kato, Fabio Pusateri
- Journal Title
  
  Differential and Integral Equations
  
  Volume: 24 Pages: 923-940
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740073
[Journal Article] Endpoint Strichartz estimates for the Klein-Gordon equation in two space dimensions and some applications2011
- Author(s)
  Jun Kato, Tohru Ozawa
- Journal Title
  
  J.Math.Pures Appl 95
  
  Pages: 48-71
- Data Source
  KAKENHI-PROJECT-20740073
[Journal Article] A new proof of long range scattering for critical nonlinear Schrodinger equations2011
- Author(s)
  Jun Kato, Fabio Pusateri
- Journal Title
  
  Differential Integral Equations
  
  Volume: 24 Pages: 923-940
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740073
[Journal Article] A new proof of long-range scattering for critical nonlinear schr-dinger equations2011
- Author(s)
  Jun Kato, Fabio Pusateri
- Journal Title
  
  Differential Integral Equations 24
  
  Pages: 923-940
- Data Source
  KAKENHI-PROJECT-20740073
[Journal Article] A remark on global solutins to nonlinear Klein-Gordon equation with a quadratic nonlinearity in two space dimensions2009
- Author(s)
  Jun Kato, Tohru Ozawa
- Journal Title
  
  RIMS Kokyuroku Bessatsu, B 14
  
  Pages: 17-25
- Data Source
  KAKENHI-PROJECT-20740073
[Journal Article] A remark on global solutions to nonlinear Klein-Gordon equation with a quadratic nonlinearity in two space dimensions2009
- Author(s)
  Jun Kato, Tohru Ozawa
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: B14 Pages: 17-25
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740073
[Journal Article] A Generalization of the Weighted Strichartz Estimates for Wave Equations and an Application to Self-Similar Solutions2007
- Author(s)
  J.Kato, M.Nakamura, T.Ozawa
- Journal Title
  
  Comm. Pure Appl. Math. 60・2
  
  Pages: 164-186
- NAID
  120000970574
- Data Source
  KAKENHI-PROJECT-18840024
[Journal Article] Uniqueness of modified Schroedinger maps in H^{3/4+ε}(R^2)2007
- Author(s)
  J.Kato, H.Koch
- Journal Title
  
  Comm. Partial Differential Equations 32・3
  
  Pages: 415-429
- Data Source
  KAKENHI-PROJECT-18840024
[Journal Article] Uniqueness of solutions for Schroedinger maps and related estimates for the product of functions2006
- Author(s)
  Jun Kato
- Journal Title
  
  数理解析研究所講究録 1491
  
  Pages: 25-35
- Data Source
  KAKENHI-PROJECT-18840024
[Journal Article] Remarks on existence of the solution to the modified Schroedinger map2006
- Author(s)
  Jun Kato
- Journal Title
  
  GAKUTO International Series, Mathematical Sciences and Applications (T. Ozawa, Y. Tsutsumi Eds.) 26
  
  Pages: 85-100
- Data Source
  KAKENHI-PROJECT-18840024
[Presentation] 長距離型Hartree方程式に対する縮小写像の方法2012
- Author(s)
  加藤淳
- Organizer
  松山解析セミナー2012
- Place of Presentation
  愛媛大学(招待講演)
- Year and Date
  2012-02-03
- Data Source
  KAKENHI-PROJECT-20740073
[Presentation] Contraction mapping principle for the Hartree equation of the long rangetype2012
- Author(s)
  加藤淳
- Organizer
  第29回九州における偏微分方程式研究集会
- Place of Presentation
  九州大学西新プラザ(招待講演)
- Year and Date
  2012-01-25
- Data Source
  KAKENHI-PROJECT-20740073
[Presentation] Navier-Stokes方程式の適切性に関する最近の話題について2012
- Author(s)
  加藤淳
- Organizer
  平成23年度数学・数理科学と諸数学・産業との連携研究ワークショップ「乱流と流体方程式の解の特異性」
- Place of Presentation
  名古屋大学(招待講演)
- Year and Date
  2012-01-27
- Data Source
  KAKENHI-PROJECT-20740073
[Presentation] Endpoint Strichartz estimates for the Klein-Gordon equation in two space dimensions and some applications2010
- Author(s)
  Jun Kato
- Organizer
  Analysis Seminar
- Place of Presentation
  Johns Hopkins University (USA)
- Year and Date
  2010-09-20
- Data Source
  KAKENHI-PROJECT-20740073
[Presentation] A new approach to the derivation of asymptotic behavior ot the small solution to the critical nonlinear Schrodinger equations2010
- Author(s)
  Jun Kato
- Organizer
  Harmonic Analysis and PDE
- Place of Presentation
  Seoul National University (South Korea)
- Year and Date
  2010-08-19
- Data Source
  KAKENHI-PROJECT-20740073
[Presentation] 角度方向の滑らかさとStrichartz型評価について2009
- Author(s)
  加藤淳
- Organizer
  RIMS短期共同研究「非線形双曲型および分散型方程式の解の挙動について」
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2009-05-26
- Data Source
  KAKENHI-PROJECT-20740073
[Presentation] 角度方向の正則性とStrichartz型評価について2009
- Author(s)
  加藤淳
- Organizer
  青葉山勉強会(第2回)「分散型方程式の解の正則性」
- Place of Presentation
  東北大学
- Year and Date
  2009-08-04
- Data Source
  KAKENHI-PROJECT-20740073
[Presentation] クライン・ゴルドン方程式に対するストリッカーツ型評価とその応用について2008
- Author(s)
  加藤淳
- Organizer
  奈良偏微分方程式研究会
- Place of Presentation
  奈良女子大学
- Year and Date
  2008-03-20
- Data Source
  KAKENHI-PROJECT-18840024
[Presentation] Endpoint Strichartz estimates for the two dimensional Klein-Gordon equation and some applications2008
- Author(s)
  Jun Kato
- Organizer
  Asymptotics and Singularities in Nonlinear and Geometric Dispersive Equations
- Place of Presentation
  BIRS, Banff (Canada)
- Year and Date
  2008-08-28
- Data Source
  KAKENHI-PROJECT-20740073
[Presentation] Endpoint Strichartz estimates for the Klein-Gordon equation and the Schrodinger equation in two space dimensions2008
- Author(s)
  Jun Kato
- Organizer
  RIMS研究集会「調和解析と非線型偏微分方程式」
- Place of Presentation
  数理解析研究所(京都大学)
- Year and Date
  2008-07-08
- Data Source
  KAKENHI-PROJECT-20740073
[Presentation] Endpoint Strichartz estimates and global solution to the 2D nonlinear Klein-Gordon equation2008
- Author(s)
  Jun Kato
- Organizer
  Young Asian Conference on Partial Differential Equations
- Place of Presentation
  浦項工科大学(韓国)
- Year and Date
  2008-01-28
- Data Source
  KAKENHI-PROJECT-18840024
[Presentation] Endpoint Strichartz estimates for the two dimensional Klein-Gordon equation and some applications2008
- Author(s)
  加藤淳
- Organizer
  Asymptotics and Singularities in Nonlinear and Geometric Dispersive Equations
- Place of Presentation
  BIRS, Banff, Canada
- Year and Date
  2008-08-28
- Data Source
  KAKENHI-PROJECT-20740073
[Presentation] Endpoint Strichartz estimates for the Klein-Gordon and the Schroinger equations in two space dimensions2008
- Author(s)
  加藤淳
- Organizer
  RIMS研究集会「調和解析と非線形偏微分方程式」
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2008-07-08
- Data Source
  KAKENHI-PROJECT-20740073
[Presentation] On small amplitude global solutions for the nonlinear Klein-Gordonequation2007
- Author(s)
  加藤淳
- Organizer
  第三回非線型の諸問題
- Place of Presentation
  鹿児島県市町村自治会館
- Year and Date
  2007-09-30
- Data Source
  KAKENHI-PROJECT-18840024
[Presentation] On small amplitude global solutions for the nonlinear Klein-Gordonequation2007
- Author(s)
  Jun Kato
- Organizer
  Nonlinear Wave Equations
- Place of Presentation
  北海道大学
- Year and Date
  2007-08-28
- Data Source
  KAKENHI-PROJECT-18840024
[Presentation] Endpoint Strichartz estimates and global solutions to the 2D nonlinear Klein-Gordon equations2007
- Author(s)
  加藤淳
- Organizer
  非線形解析学の手法による数理物理学の研究II
- Place of Presentation
  東北大学
- Year and Date
  2007-12-12
- Data Source
  KAKENHI-PROJECT-18840024

1. SUGIMOTO Mitsuru (60196756)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
2. TSUGAWA Kotaro (70402451)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
3. HISHIDA Toshiaki (60257243)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
4. MIYAKE Masatake (70019496)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
5. TACHIZAWA Kazuya (80227090)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
6. TOMITA Naohito (10437337)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

KATO Jun 加藤 淳

加藤 淳 カトウ ジュン

Research Projects

Research Products

Co-Researchers

Analysis of properties of solutions to dispersive equations via canonical transforms and comparison principle

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

On well-posedness of the Cauchy problem to Schrodinger maps in the energy spacePrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

ストリッカーツ型時空評価と非線型クライン・ゴルドン方程式系の時間大域可解性Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Endpoint Strichartz estimates for the two dimensional Klein-Gordon equation and some applications2011

Author(s)

Journal Title

Data Source

[Journal Article] Endpoint Strichartz estimates for the Klein-Gordon equation in two space dimensions and some applications2011

Author(s)

Journal Title

Data Source

[Journal Article] A new proof of long-range scattering for critical nonlinear Schrodinger equations2011

Author(s)

Journal Title

Data Source

[Journal Article] Endpoint Strichartz estimates for the Klein-Gordon equation in two space dimensions and some applications2011

Author(s)

Journal Title

Data Source

[Journal Article] A new proof of long range scattering for critical nonlinear Schrodinger equations2011

Author(s)

Journal Title

Data Source

[Journal Article] A new proof of long-range scattering for critical nonlinear schr-dinger equations2011

Author(s)

Journal Title

Data Source

[Journal Article] A remark on global solutins to nonlinear Klein-Gordon equation with a quadratic nonlinearity in two space dimensions2009

Author(s)

Journal Title

Data Source

[Journal Article] A remark on global solutions to nonlinear Klein-Gordon equation with a quadratic nonlinearity in two space dimensions2009

Author(s)

Journal Title

Data Source

[Journal Article] A Generalization of the Weighted Strichartz Estimates for Wave Equations and an Application to Self-Similar Solutions2007

Author(s)

Journal Title

NAID

Data Source

[Journal Article] Uniqueness of modified Schroedinger maps in H^{3/4+ε}(R^2)2007

Author(s)

Journal Title

Data Source

[Journal Article] Uniqueness of solutions for Schroedinger maps and related estimates for the product of functions2006

Author(s)

Journal Title

Data Source

[Journal Article] Remarks on existence of the solution to the modified Schroedinger map2006

Author(s)

Journal Title

Data Source

[Presentation] 長距離型Hartree方程式に対する縮小写像の方法2012

Author(s)

Organizer

Place of Presentation

Year and Date

Data Source

[Presentation] Contraction mapping principle for the Hartree equation of the long rangetype2012

Author(s)

KATO Jun 加藤淳

加藤淳カトウジュン