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Analytic smoothness effect of solutions for spatially homogeneous Landau equation

Analysis of PDEs 2009-10-16 v2

Abstract

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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Cite

@article{arxiv.0910.1291,
  title  = {Analytic smoothness effect of solutions for spatially homogeneous Landau equation},
  author = {Hua Chen and Wei-Xi Li and Chao-Jiang Xu},
  journal= {arXiv preprint arXiv:0910.1291},
  year   = {2009}
}

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16 pages