Spectral Multipliers for Schrödinger Operators

Research output: Contribution to conferencePresentation

Abstract

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.
Original languageAmerican English
StatePublished - Apr 1 2009
EventUniversity of South Wales Analysis Seminar - Syndey, New South Wales, Australia
Duration: Apr 1 2009 → …

Conference

ConferenceUniversity of South Wales Analysis Seminar
Period04/1/09 → …

Disciplines

  • Mathematics

Keywords

  • Hoermander type spectral multiplier problem
  • Schroedinger operators
  • Triebel-Lizorkin spaces

Fingerprint

Dive into the research topics of 'Spectral Multipliers for Schrödinger Operators'. Together they form a unique fingerprint.

Cite this