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Presented By: Department of Mathematics

Differential Equations Seminar

L^p boundedness of the scattering wave operators of Schroedinger dynamics with time-dependent potentials and applications.

The Dispersive estimates of Nonlinear equations, or more generally, eqautions with time dependent potentials is a challenging problem, with no general theory. We approach this problem by proving L^p boundedness of wave operators for linear Schr\"odinger equations with time-dependent potentials. The proofs are based on new Cancellation Lemmas. L^p decay estimates and Strichartz estimates are applications. Typical nonlinear applications include NLS and Hartree type equations.

Zoom Link: https://umich.zoom.us/j/98365676067

Meeting ID: 983 6567 6067 Speaker(s): Xiaoxu Wu (Rutgers University)

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