The University of Tokyo · Graduate School of Mathematical Sciences · 教授

Research keywords局在パターン・大域的分岐構造・放物型方程式系・第2固有値・線形化固有値問題・解の安定性・非線形楕円型方程式・非線形現象

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• On the shape of the stable patterns for activator-inhibitor systems in two-dimensional domains
• Exact periods and exact critical values for Hopf bifurcations from multi-peak solutions of the shadow Gierer-Meinhardt model in one spatial dimension
• Stability for stationary solutions of a nonlocal Allen-Cahn equation
• Nonradial maximizers for a H,non type problem and symmetry breaking bifurcations for a Liouville-Gel'fand problem with a vanishing coefficient

• 変分汎関数の高次情報が拓く楕円型偏微分方程式の解の大域的・幾何学的構造
• 散逸系の局在パターン生成における非局所的効果の数理的研究と応用
• 数理生物学に現れるモデル方程式に対する分岐理論の視点からの定性的研究
• 偏微分方程式論における解の変容過程の究明と新展開

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