Kita Naoyasu

キタナオヤス | Kita Naoyasu

Affiliation and department：
Job title： Professor

Research field (1)： Basic analysis

Research keywords (2)：非線形シュレディンガー方程式 , nonlinear Schrödinger equation

Research theme for competitive and other funds (9)：

2023 - 2027 Research on behaviors of solutions to non-conserved system of nonlinear Schrodinger equations
2018 - 2023 分散型方程式の時空間評価と非線形問題への応用に関する研究
2017 - 2022 非線形シュレディンガー方程式の解の減衰と爆発に関する研究
2013 - 2017 Well-poshness and asymptotic behaviour of solutions to nonlinear partial differential equations describing interaction between several fields
2013 - 2016 非線形シュレディンガー方程式の解の挙動に関する解析

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Papers (26)：

N. Kita, T. Sato. Optimal L^2-decay of solutions to a Schrodinger equation with sub-critical dissipaptive nonlinearity in R^2. Proceedings of the conference "Critical Phenomena in Nonlinear Partial Differential Equations, Harmonic Analysis, and Functional Inequalities." (accepted). 2024
N. Kita, T. Sato. Lower L2-decay estimate of solutions to a Schrodinger equation with sub-critical dissipative nonlinearity. Proceeding of Mathematical Analysis of Nonlinear Dispersive and Wave Equations (accepted). 2024
N. Kita, Y. Sagawa, Y. Nakamura. Optimal L∞-decay rate of solutions to a dissipative nonlinear Schrodinger equation system. Proceedings of the 14th International ISAAC (accepted). 2024
J. Gerelmaa, N. Kita, T. Sato. L2-decay of solutions to dissipative nonlinear Schrödinger equation with large initial data. Journal of Mathematical Sciences. 2024. 279. 6. 814-823
Naoyasu Kita, Satoshi Masaki, Jun-ichi Segata, Kota Uriya. Polynomial deceleration for a system of cubic nonlinear Schrodinger equations in one space dimension. Nonlinear Analysis. 2023. 230. 113216

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MISC (20)：

Naoyasu Kita. Large time behavior of solutions to a system of dissipative nonlinear Schrödinger equations. Proceedings of 48th Sapporo Symposium on Partial Differential Equations. 2023. 185. 1-12
Kita Naoyasu. Behavior of solutions to nonlinear Schrodinger equations with complex coefficient in its nonlinearity. Mathematical Society of Japan 2023 (spring), Abstract of the session of function equations. 2023. 117-125
M. Ichikawa, N. Kita, H. Matsumoto, Y. Nakamura. Extension of internal ratio of a line segment into complex values and its application to the generalization of Menelaus’ theorem. Advances in Social Science, Education and Humanities Research. 2021. 550. 9-14
KITA Naoyasu, SHIMIZU Shoji. A system of nonlinear Schrodinger equations with delta-functions as initial data. Proceedings of Research Institute of Mathematical Science. 2019. 2122. 76-91
KITA Naoyasu. Decay rate of global solutions to the Schrodinger equation with cubic dissipative nonlinearity. Proceedings of the First International Coference of Applied Sciences and Engineering. 2019. 1. 18-22

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Books (3)：

Lectures and oral presentations (73)：

消散型非線形シュレディンガー方程式の大きな初期データをもつ解の L^2 減衰評価(改良版)
(The 196th Kagurazaka Analysis Seminar 2024)
L^2-decay of solutions to dissipative nonlinear Schrödinger equations in R^n
(THE FIRST “INTERNATIONAL CONFERENCE ON MATHEMATICS AND DIGITAL TECHNOLOGY 2024)
Decay estimate of solutions to dissipative nonlinear Schrödinger equations
(Japan-Mongolia Joint Workshop 2024 2024)
On a decay estimate of solutions to dissipative nonlinear Schrodinger equations
(Saga Workshop on Partial Differential Equations 2024)
Behaviors of solutions to Schrodinger equations with nonlinear dissipation or amplification, i, II
(The 7th PDE Workshop in Miyazaki 2024)

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Education (4)：

- 1998 Nagoya University Graduate School of Polymathematics
- 1998 Nagoya University Graduate School, Division of National Science and Technology
- 1993 Waseda University School of Science and Engineering
- 1993 Waseda University Faculty of Science and Engineering

Professional career (1)：

Work history (3)：

2016/04 - 2017/09 Kumamoto University Faculty of Advenced Science and Technology Professor
2015 - Kumamoto University Graduate School of Science and Technology
2015 - Professor, ,Graduate School of Science and Technology(Engineering group),Kumamoto University

Association Membership(s) (1)：

THE MATHEMATICAL SOCIETY OF JAPAN

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