On the Existence and Regularity for Stationary Boltzmann Equation in a Small Domain
Abstract
In this article, we study the stationary Boltzmann equation with the incoming boundary condition for the hard potential cases. Assuming the smallness of the domain and a suitable normal curvature condition on the boundary, we find a suitable solution space which is a proper subset of the W1,p space for 1 ≤ p <3.
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