Uriya Kota 瓜屋航太

Researcher Number	10779474
Other IDs
Affiliation (Current)	2025: 岡山理科大学, 理学部, 准教授
Affiliation (based on the past Project Information) *help	2024: 岡山理科大学, 理学部, 准教授 2024: 岡山理科大学, 理学部, 講師 2019 – 2022: 岡山理科大学, 理学部, 講師
Review Section/Research Field	Principal Investigator Basic Section 12020:Mathematical analysis-related Except Principal Investigator Basic Section 12020:Mathematical analysis-related
Keywords	Principal Investigator 非線形分散型方程式 / 非線形Schroedinger方程式 / 散乱理論 / 漸近挙動 / 非線形クライン・ゴルドン方程式 / 非線形シュレディンガー方程式 / 修正散乱 / 非線形Klein-Gordon方程式 / 分散型方程式 Except Principal Investigator 長距離散乱理論 … More / 非線形散乱問題 / 方程式系の分類 / 解の漸近挙動 / 非線形分散型方程式 Less

Research on balance and cooperation phenomena of dispersion effect and nonlinear effect in nonlinear dispersive equations
- Principal Investigator
  
  眞崎聡
- Project Period (FY)
  2024 – 2027
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Hokkaido University
Asymptotic analysis of systems of nonlinear dispersive equationsPrincipal Investigator
- Principal Investigator
  
  瓜屋航太
- Project Period (FY)
  2024 – 2027
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Okayama University of Science
Elucidation of the asymptotic behavior of the solution to nonlinear dispersive equations in high dimensionsPrincipal Investigator
- Principal Investigator
  
  Uriya Kota
- Project Period (FY)
  2019 – 2022
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Okayama University of Science

All 2023 2022 2021 2020 2019

All Journal Article Presentation

[Journal Article] Polynomial deceleration for a system of cubic nonlinear Schrodinger equations in one space dimension2023
- Author(s)
  N.Kita, S.Masaki, J.Segata, K.Uriya
- Journal Title
  
  Nonlinear Analysis
  
  Volume: 230 Pages: 113216-113216
- DOI
  10.1016/j.na.2023.113216
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17K05305, KAKENHI-PROJECT-18K03370, KAKENHI-PROJECT-19K14578, KAKENHI-PROJECT-21K18588, KAKENHI-PROJECT-19H05597
[Journal Article] Asymptotic behavior in time of solution to system of cubic nonlinear Schroedinger equation in one space dimension2023
- Author(s)
  Satoshi Masaki, Jun-ichi Segata, Kota Uriya
- Journal Title
  
  Proceedings of the workshop "Mathematical Physics and its Interactions" [Proceedings in Mathematics & Statistics (PROMS) series by Springer]
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14578
[Journal Article] Asymptotic behavior for the long-range nonlinear Schr?dinger equation on the star graph with the Kirchhoff boundary condition2022
- Author(s)
  Aoki Kazuki、Inui Takahisa、Miyazaki Hayato、Mizutani Haruya、Uriya Kota
- Journal Title
  
  Pure and Applied Analysis
  
  Volume: 4 Issue: 2 Pages: 287-311
- DOI
  10.2140/paa.2022.4.287
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K03325, KAKENHI-PROJECT-18K13444, KAKENHI-PROJECT-19KK0066, KAKENHI-PROJECT-19K14578, KAKENHI-PROJECT-19K14580
[Journal Article] Long-time behavior of solutions to a fourth-order nonlinear Schroedinger equation with critical nonlinearity2021
- Author(s)
  Mamoru Okamoto, Kota Uriya
- Journal Title
  
  Journal of Evolution Equations
  
  Volume: 21 Issue: 4 Pages: 4897-4929
- DOI
  10.1007/s00028-021-00737-8
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-19K14578, KAKENHI-PROJECT-20K14342
[Journal Article] Long range scattering for the complex-valued Klein-Gordon equation with quadratic nonlinearity in two dimensions2020
- Author(s)
  Masaki Satoshi、Segata Jun-ichi、Uriya Kota
- Journal Title
  
  Journal de Mathe'matiques Pures et Applique'es
  
  Volume: 139 Pages: 177-203
- DOI
  10.1016/j.matpur.2020.03.009
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-19K14578, KAKENHI-PROJECT-20H00118, KAKENHI-PROJECT-17H02851, KAKENHI-PROJECT-17H02854
[Journal Article] Final state problem for the nonlocal nonlinear Schroedinger equation with dissipative nonlinearity2019
- Author(s)
  Okamoto Mamoru、Uriya Kota
- Journal Title
  
  Differential Equations & Applications
  
  Volume: 11 Issue: 4 Pages: 481-494
- DOI
  10.7153/dea-2019-11-23
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-19K14578, KAKENHI-PROJECT-16K17624
[Presentation] Asymptotic behavior of the solution to a system of cubic nonlinear Schroedinger equations in one dimension2023
- Author(s)
  Kota Uriya
- Organizer
  大阪大学微分方程式セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-19K14578
[Presentation] Asymptotic behavior of the solution to a system of cubic nonlinear Schroedinger equations in one dimension2023
- Author(s)
  Kota Uriya
- Organizer
  Critical Exponent and Nonlinear Partial Differential Equations 2023
- Invited
- Data Source
  KAKENHI-PROJECT-19K14578
[Presentation] 1次元3次の非線形Schroedinger方程式系の解の漸近挙動2022
- Author(s)
  Kota Uriya
- Organizer
  熊本大学応用解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-19K14578
[Presentation] 1次元3次の非線形Klein-Gordon方程式系の解の漸近挙動2021
- Author(s)
  Kota Uriya
- Organizer
  鳥取PDE研究集会2021
- Invited
- Data Source
  KAKENHI-PROJECT-19K14578
[Presentation] Asymptotic behavior of the solution to cubic nonlinear Klein-Gordon systems in one dimension2020
- Author(s)
  Kota Uriya
- Organizer
  第189回愛媛大学解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-19K14578
[Presentation] Long range scattering for the nonlinear Schroedinger equation in higher dimensions2020
- Author(s)
  Kota Uriya
- Organizer
  津田塾大学PDE研究会
- Invited
- Data Source
  KAKENHI-PROJECT-19K14578
[Presentation] Final state problem for a nonlocal nonlinear Schroedinger equation2019
- Author(s)
  Kota Uriya
- Organizer
  RIMS共同研究(グループ型)「線形および非線形分散型方程式の研究」
- Invited
- Data Source
  KAKENHI-PROJECT-19K14578
[Presentation] Final state problem for a nonlocal nonlinear Schroedinger equation2019
- Author(s)
  Kota Uriya
- Organizer
  大阪大学微分方程式セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-19K14578
[Presentation] 非局所非線形Schroedinger方程式に対する終値問題2019
- Author(s)
  Mamoru Okamoto, Kota Uriya
- Organizer
  日本数学会 2019年度秋期総合分科会
- Data Source
  KAKENHI-PROJECT-19K14578
[Presentation] Final state problem for a nonlocal nonlinear Schroedinger equation2019
- Author(s)
  Kota Uriya
- Organizer
  Workshop on nonlinear wave equations and related topics in Kobe
- Invited
- Data Source
  KAKENHI-PROJECT-19K14578
[Presentation] Final state problem for a nonlocal nonlinear Schroedinger equation2019
- Author(s)
  Kota Uriya
- Organizer
  微分方程式の総合的研究
- Invited
- Data Source
  KAKENHI-PROJECT-19K14578
[Presentation] Final state problem for a nonlocal nonlinear Schroedinger equation2019
- Author(s)
  Kota Uriya
- Organizer
  福島発展方程式討論会2019
- Invited
- Data Source
  KAKENHI-PROJECT-19K14578

1. 眞崎聡 (20580492)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
2. 水谷治哉 (10614985)

# of Collaborated Projects: 1 results

# of Collaborated Products: 1 results
3. 山崎陽平 (70761493)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
4. 北直泰

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

Uriya Kota 瓜屋 航太

Research Projects

Research Products

Co-Researchers

Research on balance and cooperation phenomena of dispersion effect and nonlinear effect in nonlinear dispersive equations

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Asymptotic analysis of systems of nonlinear dispersive equationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Elucidation of the asymptotic behavior of the solution to nonlinear dispersive equations in high dimensionsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

[Journal Article] Polynomial deceleration for a system of cubic nonlinear Schrodinger equations in one space dimension2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Asymptotic behavior in time of solution to system of cubic nonlinear Schroedinger equation in one space dimension2023

Author(s)

Journal Title

Data Source

[Journal Article] Asymptotic behavior for the long-range nonlinear Schr?dinger equation on the star graph with the Kirchhoff boundary condition2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Long-time behavior of solutions to a fourth-order nonlinear Schroedinger equation with critical nonlinearity2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Long range scattering for the complex-valued Klein-Gordon equation with quadratic nonlinearity in two dimensions2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Final state problem for the nonlocal nonlinear Schroedinger equation with dissipative nonlinearity2019

Author(s)

Journal Title

DOI

Data Source

[Presentation] Asymptotic behavior of the solution to a system of cubic nonlinear Schroedinger equations in one dimension2023

Author(s)

Organizer

Data Source

[Presentation] Asymptotic behavior of the solution to a system of cubic nonlinear Schroedinger equations in one dimension2023

Author(s)

Organizer

Data Source

[Presentation] 1次元3次の非線形Schroedinger方程式系の解の漸近挙動2022

Author(s)

Organizer

Data Source

[Presentation] 1次元3次の非線形Klein-Gordon方程式系の解の漸近挙動2021

Author(s)

Organizer

Data Source

[Presentation] Asymptotic behavior of the solution to cubic nonlinear Klein-Gordon systems in one dimension2020

Author(s)

Organizer

Data Source

[Presentation] Long range scattering for the nonlinear Schroedinger equation in higher dimensions2020

Author(s)

Organizer

Data Source

[Presentation] Final state problem for a nonlocal nonlinear Schroedinger equation2019

Author(s)

Organizer

Data Source

[Presentation] Final state problem for a nonlocal nonlinear Schroedinger equation2019

Uriya Kota 瓜屋航太