4.7 Article

Analytic smoothness effect of solutions for spatially homogeneous Landau equation

Journal

JOURNAL OF DIFFERENTIAL EQUATIONS
Volume 248, Issue 1, Pages 77-94

Publisher

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jde.2009.08.006

Keywords

Landau equation; Boltzmann equation; Analytic regularity; Smoothness effect

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Funding

  1. NSFC

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In this paper, we study the smoothness effect of Cauchy problem for the spatially homogeneous Landau equation in the hard potential case and the Maxwellian molecules case. We obtain the analytic smoothing effect for the solutions under rather weak assumptions on the initial datum. (C) 2009 Elsevier Inc. All rights reserved.

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