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arXiv · 2208.03546

Entropy dissipation estimates for the Boltzmann equation without cut-off

Jamil Chaker·Luis Silvestre
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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 $L^1_t(L^p_v)$ estimate.

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Jamil Chaker, Luis Silvestre. 2022-08-06. Entropy dissipation estimates for the Boltzmann equation without cut-off. https://arxiv.org/abs/2208.03546

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