Dispersion Lemmas Revisited | Zendy

Ingenuin Gasser | Zendy; Peter A. Markowich | Zendy; Benoı̂t Perthame | Zendy

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Dispersion Lemmas Revisited

Author(s) -

Ingenuin Gasser,

Peter A. Markowich,

Benoı̂t Perthame

Publication year - 1998

Publication title -

vlsi design

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.123

H-Index - 24

eISSN - 1065-514X

pISSN - 1026-7123

DOI - 10.1155/1999/81341

Subject(s) - semiclassical physics , regularization (linguistics) , limit (mathematics) , mathematical physics , mathematics , dispersion (optics) , dirac (video compression format) , mathematical analysis , moment (physics) , physics , quantum mechanics , computer science , artificial intelligence , neutrino , quantum

We investigate regularizing dispersive effects for various classical equations, e.g., the Schrodinger and Dirac equations. After Wigner transform, these dispersive estimates are reduced to moment lemmas for kinetic equations. They yield new regularization results for the Schrodinger equation (valid up to the semiclassical limit) and the Dirac equation.

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