Analytic smoothness effect of solutions for spatially homogeneous Landau equation

Details Analytic smoothness effect of solutions for spatially homogeneous Landau equation Analytic smoothness effect of solutions for spatially homogeneous Landau equation

2009-10-07

arxiv.org/abs/0910.1291v2

Journal of Differential Equations 248 (2010) 77-94

Mathematics

Analysis of PDEs

16 pages

Scientific paper

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.

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