Spectral Multipliers for Schrödinger Operators

Document Type

Presentation

Presentation Date

4-1-2009

Abstract or Description

We consider Hörmander type spectral multiplier problem for Schrödinger operator with a critical potential in one and three dimensions. It is shown that the multiplier operator is bounded on Lp, Besov spaces and Triebel-Lizorkin spaces under the same sharp condition. We then derive Strichartz estimates for the corresponding wave equations. Our work is partially motivated by the standing wave problem for the quintic wave equation in 3+1 spacetime dimensions.

Sponsorship/Conference/Institution

University of South Wales Analysis Seminar

Location

Sydney, Australia

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