Dispersion and moment lemmas revisited

I. Gasser*, Peter Markowich, B. Perthame

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

14 Scopus citations

Abstract

We further investigate relations between dispersive effects (like the Morawetz inequality) for various classical equations: Schrödinger, Dirac, and wave equations. After Wigner transform, these dispersive estimates are reduced to moment lemmas for kinetic equations. They yield new results for the Schrödinger (valid up to the semiclassical limit), wave, and Dirac equations; radial pseudo-differential operators; and also kinetic equations.

Original languageEnglish (US)
Pages (from-to)254-281
Number of pages28
JournalJournal of Differential Equations
Volume156
Issue number2
DOIs
StatePublished - Aug 10 1999

ASJC Scopus subject areas

  • Analysis

Fingerprint Dive into the research topics of 'Dispersion and moment lemmas revisited'. Together they form a unique fingerprint.

Cite this