Fujiwara Kazumasa 藤原和将

Researcher Number	40868262
Other IDs
Affiliation (Current)	2025: 龍谷大学, 先端理工学部, 准教授
Affiliation (based on the past Project Information) *help	2023 – 2025: 龍谷大学, 先端理工学部, 准教授 2020 – 2022: 名古屋大学, 多元数理科学研究科, 助教
Review Section/Research Field	Principal Investigator Basic Section 12020:Mathematical analysis-related Except Principal Investigator Broad Section B
Keywords	Principal Investigator 大域解析 / 冪乗型自己相互作用 / 消散型波動方程式 / 爆発解析 / 存在最大時刻 / 解の爆発現象 / 絶対値冪乗型非線型項 / シュレディンガー方程式 / 必要充分条件 / 有限時刻爆発 … More / 非ゲージ不変性 / 周期境界条件 / シュレーディンガー方程式 / 半波動方程式 / 臨界尺度 / 分数階微分作用素 / 時間大域可解性 / 分散型方程式 / 初期値問題 … More Except Principal Investigator 函数解析 / 変分解析 / 漸近解析 / 調和解析 Less

Study of lifespan estimates for solutions to semilinear damped wave equationsPrincipal Investigator
- Principal Investigator
  
  藤原和将
- Project Period (FY)
  2024 – 2028
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Ryukoku University
Analysis of critical interactions in wave fields
- Principal Investigator
  
  小澤徹
- Project Period (FY)
  2024 – 2028
- Research Category
  
  Grant-in-Aid for Scientific Research (S)
- Review Section
  
  Broad Section B
- Research Institution
  Waseda University
Study on blowup phenomena for Shcr\"odinger equations with non-gauge invariant power type nonlinearitiesPrincipal Investigator
- Principal Investigator
  
  Fujiwara Kazumasa
- Project Period (FY)
  2020 – 2023
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Ryukoku University
  Nagoya University

All 2024 2023 2022 2021 2020

All Journal Article Presentation

[Journal Article] Lifespan estimates for 1d damped wave equation with zero moment initial data2024
- Author(s)
  K. Fujiwara and V. Georgiev
- Journal Title
  
  Journal of Mathematical Analysis and Applications
  
  Volume: -
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14337
[Journal Article] On extended lifespan for 1d damped wave equation2024
- Author(s)
  K. Fujiwara and V. Georgiev
- Journal Title
  
  Mathematical Methods in Applied Sciences
  
  Volume: -
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14337
[Journal Article] A new class of small initial data which may shift the critical power and lifespan estimates for the classical damped wave equations2023
- Author(s)
  K. Fujiwara and V. Georgiev
- Journal Title
  
  Evolution Equations and Control Theory
  
  Volume: 12 Issue: 4 Pages: 1122-1132
- DOI
  10.3934/eect.2023003
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14337
[Journal Article] Note on the lifespan estimate of solutions for non-gauge invariant semilinear massless semirelativistic equations with some scaling critical nonlinearity2022
- Author(s)
  Fujiwara Kazumasa
- Journal Title
  
  Journal of Evolution Equations
  
  Volume: 23 Issue: 1
- DOI
  10.1007/s00028-022-00865-9
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K14337
[Journal Article] Lifespan estimates of 1D non-gauge invariant semilinear semirelativistic equations2022
- Author(s)
  Fujiwara Kazumasa
- Journal Title
  
  Applied Mathematics Letters
  
  Volume: 124 Pages: 107619-107619
- DOI
  10.1016/j.aml.2021.107619
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K14337
[Journal Article] Remark on the Chain rule of fractional derivative in the Sobolev framework2022
- Author(s)
  Fujiwara Kazumasa
- Journal Title
  
  Math. Inequal. Appl.
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K14337
[Journal Article] A test function method for evolution equations with fractional powers of the Laplace operator2021
- Author(s)
  D’Abbicco M.、Fujiwara K.
- Journal Title
  
  Nonlinear Analysis
  
  Volume: 202 Pages: 112114-112114
- DOI
  10.1016/j.na.2020.112114
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14337, KAKENHI-PROJECT-19J00334
[Journal Article] On global existence of <i>L</i><sup>2</sup> solutions for 1D periodic NLS with quadratic nonlinearity2021
- Author(s)
  Fujiwara Kazumasa、Georgiev Vladimir
- Journal Title
  
  Journal of Mathematical Physics
  
  Volume: 62 Issue: 9 Pages: 091504-091504
- DOI
  10.1063/5.0033101
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K14337
[Journal Article] On the Cauchy problem for a class of semilinear second order evolution equations with fractional Laplacian and damping2021
- Author(s)
  Fujiwara Kazumasa、Ikeda Masahiro、Wakasugi Yuta
- Journal Title
  
  Nonlinear Differential Equations and Applications NoDEA
  
  Volume: 28 Issue: 6
- DOI
  10.1007/s00030-021-00723-6
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14581, KAKENHI-PROJECT-20K14337
[Journal Article] On global well-posedness for nonlinear semirelativistic equations in some scaling subcritical and critical cases2020
- Author(s)
  Fujiwara Kazumasa、Georgiev Vladimir、Ozawa Tohru
- Journal Title
  
  J. Math. Pures Appl.
  
  Volume: 136 Pages: 239-256
- DOI
  10.1016/j.matpur.2019.10.003
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18KK0073, KAKENHI-PROJECT-19H00644, KAKENHI-PROJECT-17H02855, KAKENHI-PROJECT-20K14337, KAKENHI-PROJECT-17H01097, KAKENHI-PROJECT-19J00334
[Journal Article] Self-similar solutions to the derivative nonlinear Schr\"odinger equation2020
- Author(s)
  Fujiwara Kazumasa、Georgiev Vladimir、Ozawa Tohru
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 268 Issue: 12 Pages: 7940-7961
- DOI
  10.1016/j.jde.2019.11.089
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18KK0073, KAKENHI-PROJECT-20K14337, KAKENHI-PROJECT-19J00334
[Presentation] Lifespan estimate for classical damped wave equations with some initial data2024
- Author(s)
  藤原和将
- Organizer
  京都大学NLPDEセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-20K14337
[Presentation] Remark on the lifespan of semilinear classical damped wave equation2023
- Author(s)
  Fujiwara Kazumasa, Vladimir Georgiev
- Organizer
  Analysis Seminar Pisa University
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14337
[Presentation] A lifespan estimate for semilinear classical damped wave equations2023
- Author(s)
  Fujiwara Kazumasa, Vladimir Georgiev
- Organizer
  Geometric Analysis in Harmonic Analysis and PDE
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14337
[Presentation] Lifespan estimate for classical damped wave equations with some initial data2023
- Author(s)
  藤原和将
- Organizer
  ICIAM 2023
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14337
[Presentation] 或る初期値に対する消散型波動方程式の爆発時刻の評価2023
- Author(s)
  藤原和将
- Organizer
  京都駅前セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-20K14337
[Presentation] Lifespan estimate for classical damped wave equations with some initial data2023
- Author(s)
  藤原和将
- Organizer
  鳥取PDE研究集会2023
- Invited
- Data Source
  KAKENHI-PROJECT-20K14337
[Presentation] A lifespan estimate for classical damped wave equations with some initial data2022
- Author(s)
  Fujiwara Kazumasa, Vladimir Georgiev
- Organizer
  名古屋微分方程式セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-20K14337
[Presentation] On a test function method with fractional derivatives2022
- Author(s)
  藤原和将
- Organizer
  第5回反応拡散方程式と非線形分散型方程式の解の挙動
- Invited
- Data Source
  KAKENHI-PROJECT-20K14337
[Presentation] 或る初期条件に対する半線型消散型波動方程式の存在時刻の評価,2022
- Author(s)
  Fujiwara Kazumasa, Vladimir Georgiev
- Organizer
  第3回大同大学若手セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-20K14337
[Presentation] 或る初期条件に対する半線型消散型波動方程式の存在時刻の評価2022
- Author(s)
  Fujiwara Kazumasa, Vladimir Georgiev
- Organizer
  名古屋大学多元数理科学研究科談話会
- Invited
- Data Source
  KAKENHI-PROJECT-20K14337
[Presentation] Necessary and sufficient condition of L^2 global existence for a periodic nonlinear Scho:dinger equation2022
- Author(s)
  Fujiwara Kazumasa, Vladimir Georgiev
- Organizer
  Webinar Critical exponent versus blow-up in evolution models
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14337
[Presentation] Necessary and sufficient condition for global existence of $L^2$ solutions for 1D periodic NLS with non-gauge invariant quadratic nonlinearity2022
- Author(s)
  Fujiwara Kazumasa, Vladimir Georgiev
- Organizer
  微分方程式の総合的研究
- Invited
- Data Source
  KAKENHI-PROJECT-20K14337
[Presentation] Necessary and sufficient condition for global existence of L2 solutions for 1D periodic NLS with non-gauge invariant quadratic nonlinearity2021
- Author(s)
  藤原和将
- Organizer
  第46回偏微分方程式論札幌シンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-20K14337
[Presentation] 周期境界条件に於ける絶対値冪乗型の非線型項を有するシュレーディンガー方程式に対する時間大域可解性の為の自乗可積分な初期状態の必要充分条件2021
- Author(s)
  藤原和将
- Organizer
  名古屋微分方程式セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-20K14337
[Presentation] Necessary and sufficient condition for global existence of $L^2$ solutions for 1D periodic NLS with non-gauge invariant quadratic nonlinearity2021
- Author(s)
  藤原和将
- Organizer
  第10回室蘭非線形解析研究会
- Invited
- Data Source
  KAKENHI-PROJECT-20K14337
[Presentation] Remark on chain rules in the Sobolev framework2021
- Author(s)
  藤原和将
- Organizer
  Nonlinear Wave Equations
- Invited
- Data Source
  KAKENHI-PROJECT-20K14337
[Presentation] Necessary and sufficient condition for global existence of $L^2$ solutions for 1D periodic NLS with non-gauge invariant quadratic nonlinearity2020
- Author(s)
  藤原和将
- Organizer
  京都大学 NLPDE セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-20K14337
[Presentation] A sufficient and necessary condition for blow-up of non-gauge invariant nonlinear periodic Schro:dinger equations2020
- Author(s)
  藤原和将
- Organizer
  第 721 回応用解析研究会
- Invited
- Data Source
  KAKENHI-PROJECT-20K14337
[Presentation] Necessary and sufficient condition of L^2 global existence for a periodic nonlinear Schro:dinger equation2020
- Author(s)
  藤原和将
- Organizer
  Webinar Critical exponent versus blow-up in evolution models
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14337

1. 小澤徹 (70204196)

# of Collaborated Projects: 1 results

# of Collaborated Products: 2 results
2. 田中和永 (20188288)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
3. BEZ NEAL (30729843)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
4. 杉本充 (60196756)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
5. 林雅行 (60967850)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
6. 片山聡一郎 (70283942)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
7. 砂川秀明 (80375394)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
8. 池田正弘

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

Fujiwara Kazumasa 藤原 和将

Research Projects

Research Products

Co-Researchers

Study of lifespan estimates for solutions to semilinear damped wave equationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Analysis of critical interactions in wave fields

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Study on blowup phenomena for Shcr\"odinger equations with non-gauge invariant power type nonlinearitiesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

[Journal Article] Lifespan estimates for 1d damped wave equation with zero moment initial data2024

Author(s)

Journal Title

Data Source

[Journal Article] On extended lifespan for 1d damped wave equation2024

Author(s)

Journal Title

Data Source

[Journal Article] A new class of small initial data which may shift the critical power and lifespan estimates for the classical damped wave equations2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Note on the lifespan estimate of solutions for non-gauge invariant semilinear massless semirelativistic equations with some scaling critical nonlinearity2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Lifespan estimates of 1D non-gauge invariant semilinear semirelativistic equations2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Remark on the Chain rule of fractional derivative in the Sobolev framework2022

Author(s)

Journal Title

Data Source

[Journal Article] A test function method for evolution equations with fractional powers of the Laplace operator2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On global existence of <i>L</i><sup>2</sup> solutions for 1D periodic NLS with quadratic nonlinearity2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On the Cauchy problem for a class of semilinear second order evolution equations with fractional Laplacian and damping2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On global well-posedness for nonlinear semirelativistic equations in some scaling subcritical and critical cases2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Self-similar solutions to the derivative nonlinear Schr\"odinger equation2020

Author(s)

Journal Title

DOI

Data Source

[Presentation] Lifespan estimate for classical damped wave equations with some initial data2024

Author(s)

Organizer

Data Source

[Presentation] Remark on the lifespan of semilinear classical damped wave equation2023

Author(s)

Fujiwara Kazumasa 藤原和将

[Presentation] 周期境界条件に於ける絶対値冪乗型の非線型項を有するシュレーディンガー方程式に対する時間大域可解性の為の自乗可積分な初期状態の必要充分条件2021