The hard potential relativistic Boltzmann equation in the whole space

2018/03/27 by Nishimura, Koya
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1803.09863

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 L^∞ norm, to construct global in time mild solutions. We also prove the optimal time decay rates of the solutions.

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