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VLSI Design
Volume 9 (1999), Issue 4, Pages 365-375

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.


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.