### Abstract:

We consider Hormander type spectral multiplier problem for Schroedinger 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.

Speaker

Prof. Shijun Zheng

Research Area

Analysis Seminar

Affiliation

Georgia Southern University

Date

Wed, 01/04/2009 - 12:00pm

Venue

RC-4082