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Well-posedness for the spatially homogeneous Landau–Fermi–Dirac equation for hard potentials

Published online by Cambridge University Press:  12 July 2007

Véronique Bagland
Affiliation:
Mathématiques pour l'Industrie et la Physique, CNRS UMR 5640, Université Paul Sabatier–Toulouse 3, 118 route de Narbonne, F-31062 Toulouse Cedex 4, France ([email protected])

Abstract

We study the Cauchy problem for the spatially homogeneous Landau equation for Fermi–Dirac particles, in the case of hard and Maxwellian potentials. We establish existence and uniqueness of a weak solution for a large class of initial data.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 2004

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