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理学院数理讲坛(2017年第38讲)

发布日期:2017-08-16 作者:理学院

理学院数理讲坛2017年第38讲)

 

报告题目:Strichartz estimates for wave equations with charge transfer Hamiltonians

 

报 告 人: 陈功 博士

  位: 美国芝加哥大学

报告时间:2017814日(星期一)10:00-11:00

报告地点:阳明学院303

We will discuss Strichartz estimates for linear wave equations with several moving potentials in $\mathbb{R}^{3}$ (a.k.a. charge transfer Hamiltonians) which appear naturally in the study of nonlinear multisoliton systems. We show that local decay estimates systematically imply Strichartz estimates. To study local decay estimates, we introduce novel reversed Strichartz estimates along slanted lines and energy comparison under Lorentz transformations. As applications, we will also discuss related scattering problems and a construction of multisoliton in $\mathbb{R}^{3}$ with strong interactions