Dispersion and moment lemmas revisited

I. Gasser*, P. A. Markowich, B. Perthame

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

16 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

Bibliographical note

Funding Information:
This research was supported by the German DAAD program PROCOPE ‘‘Verallgemeinerte Halbleitermodelle.’’ The first and the second author were also supported by Grant MA 1662 1-2 and 2-2 of the Deutsche Forschungsgemeinschaft.

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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