Research field (2):
Basic analysis
, Mathematical analysis
Research keywords (4):
非線形発展方程式
, 偏微分方程式
, 非線形境界条件
, 解の定性的理論
Research theme for competitive and other funds (4):
2024 - 2028 散逸型境界条件が非平衡開放系に及ぼす影響の解明
2024 - 2027 時空重み付き評価を用いた消散型波動方程式に対する数学解析の新展開
2022 - 2024 拡散構造を持たない消散型波動方程式に対する大域可解性の理論の新展開
2020 - 2022 非線形境界条件を伴う反応拡散方程式系の数学解析
Papers (5):
Kosuke Kita, Ryunosuke Kusaba. A remark on the blowing up of solutions to Nakao's problem. Journal of Mathematical Analysis and Applications. 2022. 513. 1. 126199-126199
Kosuke Kita, Mitsuharu Ôtani. On a comparison theorem for parabolic equations with nonlinear boundary conditions. Advances in Nonlinear Analysis. 2022. 11. 1. 1165-1181
Bounds for global solutions of nonlinear heat equations with nonlinear boundary conditions. Libertas Mathematica (new series). 2021. 41. 1. 1-22
Kosuke Kita, Mitsuharu Ôtani. Bounds for global solutions of a reaction diffusion system with the Robin boundary conditions. Differential Equations & Applications. 2019. 11. 2. 227-242
Kosuke Kita, Mitsuharu Ôtani, Hiroki Sakamoto. On some parabolic systems arising from a nuclear reactor model with nonlinear boundary conditions. Advances in Mathematical Sciences and Applications. 2018. 27. 2. 193-224
非線形境界条件に支配される放物型方程式に対する比較定理とその応用について. Hokkaido University technical report series in Mathematics. 2019. 176. 319-324
Kita, Kosuke. On some parabolic systems arising from a nuclear reactor model (Theory of Evolution Equation and Mathematical Analysis of Nonlinear Phenomena). RIMS Kokyuroku. 2018. 2090. 42-59
喜多 航佑. The uniform boundedness of global solutions for a reaction diffusion system. 第40回発展方程式若手セミナー報告集. 2018. 121-128
On nonlinear heat equations with nonlinear boundary conditions in a bounded domain
(日本数学会2024年度秋季総合分科会 実函数論分科会 特別講演 2024)
On a weighted estimate for the solution to the damped wave equation and its application to Nakao's problem in 3D
(International Meeting on Recent Developments in the Wave Equation and Related Evolution Equations 2024)
空間3次元における中尾の問題について
(第2回 信州若里偏微分方程式セミナー 2024)
On Nakao's problem in three space dimensions
(2024)
On a weighted estimate for the solution to the damped wave equation in 3D
(Workshop on Nonlinear Hyperbolic PDEs. On the occasion of 60th birthday of Professor Yi Zhou 2023)