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- Title
A New Regularization Mechanism for the Boltzmann Equation Without Cut-Off.
- Authors
Silvestre, Luis
- Abstract
We apply recent results on regularity for general integro-differential equations to derive a priori estimates in Hölder 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.
- Subjects
BOLTZMANN'S equation; TRANSPORT theory; INTEGRO-differential equations; DIFFERENTIAL equations; MACROSCOPIC cross sections
- Publication
Communications in Mathematical Physics, 2016, Vol 348, Issue 1, p69
- ISSN
0010-3616
- Publication type
Article
- DOI
10.1007/s00220-016-2757-x