Presented By: Department of Mathematics
Differential Equations
Strichartz estimates for wave equations with charge transfer Hamiltonians
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)
problems and a construction of multisoliton in $\mathbb{R}^{3}$ with weak interactions. Speaker(s): Gong Chen (Univ. Chicago)
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