Yunbai Cao
Published 2020-06-05Version 1
We consider the Boltzmann equation with external fields in strictly convex domains with the specular reflection boundary condition. We construct classical $C^1$ solutions away from the grazing set under the assumption that the external field is $C^2$ and the normal derivative of the field is positive and bounded away from $0$.
Comments: arXiv admin note: text overlap with arXiv:1212.1694 by other authors
The Boltzmann equation with large-amplitude initial data and specular reflection boundary condition
Regularity of Boltzmann equation with external fields in convex domains of diffuse reflection
The Boltzmann equation with weakly inhomogeneous data in bounded domain
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