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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
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 (bagland@mip.ups-tlse.fr)
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Abstract

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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
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 134 , Issue 3 , June 2004 , pp. 415 - 447
Copyright
Copyright © Royal Society of Edinburgh 2004