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Differential Equations

Strichartz estimates for wave equations with charge transfer Hamiltonians
Thursday, February 23, 2017
4:00-5:00 PM
4088 East Hall Map
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 weak interactions. Speaker(s): Gong Chen (Univ. Chicago)
Building: East Hall
Event Type: Workshop / Seminar
Tags: Mathematics
Source: Happening @ Michigan from Department of Mathematics, Differential Equations Seminar - Department of Mathematics