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Averaging lemmas without time Fourier transform and application to discretized kinetic equations

Published online by Cambridge University Press:  14 November 2011

F. Bouchut  and
L. Desvillettes
F. Bouchut
Affiliation:
Université d'Orléans et CNRS, UMR 6628, Département de Mathématiques, BP 6759, 45067 Orléans cedex 2, [email protected]
L. Desvillettes
Affiliation:
Université d'Orléans et CNRS, UMR 6628, Département de Mathématiques, BP 6759, 45067 Orléans cedex 2, [email protected]
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Extract

We prove classical averaging lemmas in the L2 framework with the help of the Fourier transform in variables x and v, but not t. This method is then used to study discretized problems arising out of the numerical analysis of kinetic equations.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 129 , Issue 1 , 1999 , pp. 19 - 36
Copyright
Copyright © Royal Society of Edinburgh 1999

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