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.
ASJC Scopus subject areas
- Hardware and Architecture
- Computer Graphics and Computer-Aided Design
- Electrical and Electronic Engineering