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arXiv · 1412.4706

A new regularization mechanism for the Boltzmann equation without cut-off

Luis Silvestre
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Abstract

We apply recent results on regularity for general integro-differential equations to derive a priori estimates in H\"older spaces for the space homogeneous Boltzmann equation in the non cut-off case. We also show an a priori estimate in $L^\infty$ which applies in the space inhomogeneous case as well, provided that the macroscopic quantities remain bounded.

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Luis Silvestre. 2014-12-15. A new regularization mechanism for the Boltzmann equation without cut-off. https://arxiv.org/abs/1412.4706

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