Asymptotic properties of solutions to nonlinear dispersive partial differential equations

非线性色散偏微分方程解的渐近性质

• 批准号: 21740102
• 负责人: SHIMOMURA Akihiro
• 金额: $ 1.75万
• 依托单位: The University of Tokyo (2011)Tokyo Metropolitan University (2009-2010)
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Young Scientists (B)
• 财政年份: 2009
• 资助国家: 日本
• 起止时间: 2009 至 2011
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21740102/
• 关键词: 解析学; 偏微分方程式; 関数解析

I studied the large time behavior of solutions to the Schrodinger equation with long-range nonlinear dissipation, the time decay estimate of solutions to the Hartree-Fock type equation with a long-range potential and the large time behavior of solutions to the Dirac-Klein-Gordon system in two space dimensions.

我研究了具有长程非线性耗散的Schrodinger方程解的大时间性态，具有长程势的Hartree-Fock型方程解的时间衰减估计，以及二维空间中Dirac-Klein-Gordon系统解的大时间性态.