Dispersion Lemmas Revisited-Reference-Cited by-同舟云学术

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Dispersion Lemmas Revisited

Published:1999-01-01 Issue:4 Volume:9 Page:365-375
ISSN:1065-514X
Container-title:VLSI Design
language:en
Short-container-title:VLSI Design

Author:

Gasser I.¹,Markowich P. A.²,Perthame B.³

Affiliation:

1. Universität Hamburg, Institut f. Angew. Mathematik, Bundesstraße 55, Hamburg 20146, Germany

2. Johannes Kepler Universität Linz, Institut für Analysis und Numerik, Altenberger Straße 69, Linz 4040, Austria

3. Ecole Normale Superieure, DMI, 45, rue d'Ulm, Paris Cedex 05 75230, France

Abstract

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

Funder

Deutsche Forschungsgemeinschaft

Publisher

Hindawi Limited

Subject

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

Link

http://downloads.hindawi.com/archive/1999/081341.pdf

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