Rchr
J-GLOBAL ID:201801002776752089
Update date: Oct. 01, 2024
Uriya Kota
ウリヤ コウタ | Uriya Kota
Affiliation and department:
Research field (1):
Mathematical analysis
Research keywords (5):
偏微分方程式論
, 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
, Asymptotic Behavior
, Nonlinear Dispersive Equations
Research theme for competitive and other funds (3):
- 2024 - 2028 Asymptotic analysis of systems of nonlinear dispersive equations
- 2024 - 2028 Research on balance and cooperation phenomena of dispersion effect and nonlinear effect in nonlinear dispersive equations
- 2019 - 2023 高次元における非線形分散型方程式の解の漸近挙動の解明
Papers (14):
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Naoyasu Kita, Satoshi Masaki, Jun-ichi Segata, Kota Uriya. Polynomial deceleration for a system of cubic nonlinear Schrödinger equations in one space dimension. Nonlinear Analysis. 2023. 230. 113216-113216
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Kazuki Aoki, Takahisa Inui, Hayato Miyazaki, Haruya Mizutani, Kota Uriya. Asymptotic behavior for the long-range nonlinear Schrödinger equation on the star graph with the Kirchhoff boundary condition. Pure and Applied Analysis. 2022. 4. 2. 287-311
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Satoshi Masaki, Jun-ichi Segata, Kota Uriya. On asymptotic behavior of solutions to cubic nonlinear Klein-Gordon systems in one space dimension. Transactions of the American Mathematical Society, Series B. 2022. 9. 18. 517-563
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Mamoru Okamoto, Kota Uriya. Long-time behavior of solutions to a fourth-order nonlinear Schrödinger equation with critical nonlinearity. Journal of Evolution Equations. 2021
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Satoshi Masaki, Jun-ichi Segata, Kota Uriya. Long range scattering for the complex-valued Klein-Gordon equation with quadratic nonlinearity in two dimensions. Journal de Mathématiques Pures et Appliquées. 2020. 139. 177-203
more...
Lectures and oral presentations (75):
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Asymptotic behavior of the solution to a system of cubic nonlinear Schröodinger equations in one dimension
(National Cheng Kung University Colloquium 2024)
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Asymptotic behavior of the solution to a system of cubic nonlinear Schrödinger equations in one dimension
(Critical Exponent and Nonlinear Partial Differential Equations 2023 2023)
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Asymptotic behavior of the solution to a system of cubic nonlinear Schrödinger equations in one dimension
(Critical Exponent and Nonlinear Partial Differential Equations 2023 2023)
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Asymptotic behavior of the solution to a system of cubic nonlinear Schrödinger equations in one dimension
(2022)
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1次元3次の非線形Klein-Gordon方程式系の解の漸近挙動
(第14回実解析と函数解析による微分方程式セミナー 2021)
more...
Education (3):
- 2011 - 2015 Tohoku University Graduate School of Science Department of Mathematics
- 2009 - 2011 Tohoku University Graduate School of Science Department of Mathematics
- 2005 - 2009 Shizuoka University Faculty of Science Department of Mathematics
Professional career (1):
Work history (4):
- 2018/04 - 現在 Okayama University of Science Faculty of Science, Department of Applied Mathematics
- 2019/04 - 岡山理科大学理学部応用数学科講師
- 2016/04 - 2018/03 Okayama University of Science Faculty of Science, Department of Applied Mathematics
- 2015/04 - 2016/03 Tohoku University Graduate School of Science, Department of Mathematics
Association Membership(s) (1):
THE MATHEMATICAL SOCIETY OF JAPAN
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