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VLSI Design
Volume 9 (1999), Issue 4, Pages 365-375
doi:10.1155/1999/81341
Dispersion Lemmas Revisited
1Universität Hamburg, Institut f. Angew. Mathematik, Bundesstraße 55, Hamburg 20146, Germany
2Johannes Kepler Universität Linz, Institut für Analysis und Numerik, Altenberger Straße 69, Linz 4040, Austria
3Ecole Normale Superieure, DMI, 45, rue d'Ulm, Paris Cedex 05 75230, France
Received 13 August 1997; Revised 1 December 1998
Copyright © 1999 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.