Entropy dissipation estimates for the Boltzmann equation without cut-off

2022/08/06 by Chaker, Jamil, Silvestre, Luis
#45P05 #76P05 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2208.03546

Abstract

We prove a bound on the entropy dissipation for the Boltzmann collision operator from below by a weighted L^p-Norm. The estimate holds for a wide range of potentials including soft potentials as well as very soft potentials. As an application, we study weak solutions to the spatially homogeneous Boltzmann equation and prove a weighted L¹_t(L^p_v) estimate.

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