Abstract
In this talk we consider Hormander 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 L p , 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.
Original language | American English |
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State | Published - Nov 6 2006 |
Event | Analysis and Partioal Differential Equations Seminar - Duration: Nov 6 2006 → … |
Conference
Conference | Analysis and Partioal Differential Equations Seminar |
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Period | 11/6/06 → … |
Keywords
- Schrodinger Operators
- Spectral Calculus
DC Disciplines
- Mathematics
- Physical Sciences and Mathematics