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I. Gasser, P. A. Markowich, B. Perthame, "Dispersion Lemmas Revisited", VLSI Design, vol. 9, Article ID 081341, 11 pages, 1999. https://doi.org/10.1155/1999/81341
Dispersion Lemmas Revisited
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.
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