BV-Regularity of the Boltzmann equation in non-convex domains
Résumé
We 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 an "epsilon-tubular"
neighborhood of the singular set.
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