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The hard potential relativistic Boltzmann equation in the whole space

Analysis of PDEs 2018-03-28 v1

Abstract

We study the Cauchy problem for the relativistic Boltzmann equation near relativistic Maxwellians in the whole space. The purpose of this article is to handle hard potentials, and for initial data with finite LL^\infty norm, to construct global in time mild solutions. We also prove the optimal time decay rates of the solutions.

Keywords

Cite

@article{arxiv.1803.09863,
  title  = {The hard potential relativistic Boltzmann equation in the whole space},
  author = {Koya Nishimura},
  journal= {arXiv preprint arXiv:1803.09863},
  year   = {2018}
}

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19 pages