Dispersion lemmas revisited

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

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We investigate regularizing dispersive effects for various classical equations, e.g., the Schroedinger and Dirac equations. After Wigner transform, these dispersive estimates are reduced to moment lemmas for kinetic equations. They yield new regularization results for the Schroedinger equation (valid up to the semiclassical limit) and the Dirac equation.

Original languageEnglish (US)
Pages (from-to)365-375
Number of pages11
JournalUnknown Journal
Volume9
Issue number4
DOIs
StatePublished - 1999
Externally publishedYes

ASJC Scopus subject areas

  • Hardware and Architecture
  • Computer Graphics and Computer-Aided Design
  • Electrical and Electronic Engineering

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