Strichartz Estimates for Schrödinger Equation with a Magnetic Potential

Document Type

Presentation

Presentation Date

2-17-2009

Abstract or Description

The dissipative mechanism of Schrödinger equation is mathematically described by the decay estimate of solutions. In this talk I mainly focused on the use of harmonic analysis techniques to obtain suitable time decay estimates and then prove the wellposedness for semilinear Schrödinger equation in an external magnetic field. It turns out that the scattering with a potential may lead to understanding of the wellposedness of NLS in the presence of nonsmooth or large initial data. Part of this talk is a joint work with Zhenqiu Zhang.

Sponsorship/Conference/Institution

The Norbert Wiener Center Seminar

Location

College Park, MD

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