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Differential Equations Seminar

L^p boundedness of the scattering wave operators of Schroedinger dynamics with time-dependent potentials and applications.
Thursday, January 13, 2022
4:00-5:00 PM
Zoom 983 6567 6067 Off Campus Location
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.

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Meeting ID: 983 6567 6067 Speaker(s): Xiaoxu Wu (Rutgers University)
Building: Off Campus Location
Location: Virtual
Event Type: Workshop / Seminar
Tags: Mathematics
Source: Happening @ Michigan from Department of Mathematics