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arXiv:1409.0160 [math.AP]AbstractReferencesReviewsResources

BV-regularity of the Boltzmann equation in Non-Convex Domains

Yan Guo, Chanwoo Kim, Daniela Tonon, Ariane Trescases

Published 2014-08-30Version 1

Consider the Boltzmann equation in a general non-convex domain with the diffuse boundary condition. We establish optimal BV estimates for such solutions. Our method consists of a new $W^{1,1}-$trace estimate for the diffuse boundary condition and a delicate construction of and an $\varepsilon-$tubular neighborhood of the singular set.

Comments: 45 pages, submitted
Categories: math.AP
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