A new regularization mechanism for the Boltzmann equation without cut-off (1412.4706v3)

Published 15 Dec 2014 in math.AP

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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Authors (1)

Luis Silvestre

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