Analytic regularity for solutions of the spatially homogeneous                  Landau-Fermi-Dirac equation for hard potentials

Yemin Chen

doi:10.3934/krm.2010.3.645

Article Contents

2010, Volume 3, Issue 4: 645-667. Doi: 10.3934/krm.2010.3.645

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Analytic regularity for solutions of the spatially homogeneous Landau-Fermi-Dirac equation for hard potentials

Yemin Chen^1,

1.
Department of Mathematics, Beijing Institute of Technology, Beijing 100081

Received: March 31, 2010

Revised: August 31, 2010

Published: November 2010

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Abstract

In this paper, we consider the regularity of solutions to the spatially homogeneous Landau-Fermi-Dirac equation for hard potentials. In particular, we get the analytic smoothing effects for solutions obtained by Bagland if we assume all the moments for the initial datum are finite.

Keywords:

Analytic regularity,
spatially homogeneous Landau-Fermi-Dirac equation,
Gagliardo-Nirenberg's inequality,
Sobolev embedding theorem.

Mathematics Subject Classification: Primary: 35B65, 35Q82; Secondary: 82C40.

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References

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