Spectral Calculus for Schrödinger Operators in One and Three Dimensions

Research output: Contribution to conferencePresentation

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 languageAmerican English
StatePublished - Nov 6 2006
EventAnalysis and Partioal Differential Equations Seminar -
Duration: Nov 6 2006 → …

Conference

ConferenceAnalysis and Partioal Differential Equations Seminar
Period11/6/06 → …

Keywords

  • Schrodinger Operators
  • Spectral Calculus

DC Disciplines

  • Mathematics
  • Physical Sciences and Mathematics

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