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Dispersion and Moment Lemmas Revisited

✍ Scribed by I Gasser; P.A Markowich; B Perthame

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
207 KB
Volume
156
Category
Article
ISSN
0022-0396

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✦ Synopsis

We further investigate relations between dispersive effects (like the Morawetz inequality) for various classical equations: Schro dinger, Dirac, and wave equations. After Wigner transform, these dispersive estimates are reduced to moment lemmas for kinetic equations. They yield new results for the Schro dinger (valid up to the semiclassical limit), wave, and Dirac equations; radial pseudo-differential operators; and also kinetic equations.

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