Hokkaido University · Faculty of Science / Graduate School of Science / Research Institute of Science · 准教授

Research keywords偏微分方程式・粘性解・ハミルトン・ヤコビ方程式・比較原理・平均曲率流

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• A dynamical approach to lower gradient estimates for viscosity solutions of Hamilton-Jacobi equations2023 · SIAM Journal on Mathematical Analysis, 55, 4, 3169, 3204, Society for Industrial & Applied Mathematics (SIAM), 2023年07月,
• Weak comparison principles for fully nonlinear degenerate parabolic equations with discontinuous source terms2023 · Minimax Theory and its Applications, 8, 1, 37, 60, 2023年,
• A self-affine property of evolutional type appearing in a Hamilton-Jacobi flow starting from the Takagi function2022 · Michigan Mathematical Journal, 71, 1, 105, 120, Michigan Mathematical Journal, 2022年03月,
• A weak comparison principle and asymptotic behavior of viscosity solutions to the mean curvature flow equation with discontinuous source terms2022 · RIMS Kokyuroku, 2212, 41, 53, 2022年,

• 離散と連続をつなぐ粘性解理論の構築
• 距離空間上の粘性解
• 完全非線形偏微分方程式の境界値問題の解析と応用
• 結晶成長現象とハミルトン・ヤコビ方程式

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