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

Research keywords非線形シュレディンガー方程式・分散型方程式・散乱問題・ソリトン解・定在波の安定性

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• Global well-posedness and scattering in weighted space for nonlinear Schrödinger equations below the Strauss exponent without gauge-invariance2025 · Mathematische Annalen, 392, 1, 1051, 1097, Springer Science and Business Media LLC, 2025年02月28日,
• Scattering for the focusing, $L^2$-supercritical fourth-order NLS in one dimension2025 · Discrete and Continuous Dynamical Systems, 45, 2, 480, 510, American Institute of Mathematical Sciences (AIMS), 2025年,
• Asymptotic Behavior in Time of Solution to System of Cubic Nonlinear Schrödinger Equations in One Space Dimension2024 · Springer Proceedings in Mathematics & Statistics, 119, 180, Springer Nature Singapore, 2024年07月04日,
• Scattering of solutions with group invariance for the fourth-order nonlinear Schrödinger equation2024 · Nonlinearity, 37, 8, 085003, 085003, IOP Publishing, 2024年06月19日,

• 非線形偏微分方程式のおける解の臨界正則性と特異性
• 空間遠方で増大する非局所的非線型項を持つ非線型シュレディンガー方程式の解析
• 非線形波動方程式の大域ダイナミクス
• 質量劣臨界非線項を持つ分散型偏微分方程式の解の大域解析

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