Kanto Gakuin University · Department of Science and Engineering, Division of Mathematics and Physics

Research keywords非線形解析・反応拡散系・数値シミュレーション・数理モデル・自由境界問題・非線形楕円型方程式

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• Borderline behavior and propagating terrace for a free boundary problem with positive bistable nonlinearity under Dirichlet boundary conditions2025 · Journal of Elliptic and Parabolic Equations
• Stability and bifurcation diagram for a shadow Gierer–Meinhardt system in one spatial dimension2024 · Nonlinearity
• A free boundary problem of nonlinear diffusion equation with positive bistable nonlinearity in high space dimensions II: Asymptotic profiles of solutions and radial terrace solution2023 · Journal de Mathematiques Pures et Appliquees
• A free boundary problem of nonlinear diffusion equation with positive bistable nonlinearity in high space dimensions III: General case2023 · Discrete and Continuous Dynamical Systems

• 多安定反応拡散系に現れるテラス型進行波と伝播現象の研究2023
• 拡散型非線形発展方程式に対する定量的解析2021
• 反応拡散方程式系によって生成される界面運動と伝播の研究2019
• 個体拡散モデルに関係する非線形拡散方程式の自由境界問題の可解性と解の漸近挙動2014

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