Okinawa Institute of Science and Technology Graduate University · Geometric Partial Differential Equations Unit · 准教授

Research fieldsMathematical analysis

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• A game-theoretic approach to dynamic boundary problems for level-set curvature flow equations and applications
• Lipschitz continuity and convexity preserving for solutions of semilinear evolution equations in the Heisenberg group
• A deterministic game interpretation for fully nonlinear parabolic equations with dynamic boundary conditions
• A nonlinear parabolic equation with discontinuity in the highest order and applications

• 距離空間における非線形偏微分方程式の研究
• 粘性解理論に基づくサブリーマン多様体上の非線形偏微分方程式の研究
• 非線形偏微分方程式の粘性解と微分ゲーム理論による手法
• 決定論的ビリヤード微分ゲームと放物型境界値問題

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