L(p)-estimates of the Boltzmann equation around a traveling local Maxwellian
In this paper, we are interested in the LP-estimates of the Boltzmann equation in the case that the distribution function stays around a traveling local Maxwellian. For this, we divide both sides of the Boltzmann equation by the velocity distribution function with a fractional exponent and reformulate the Boltzmann equation into a regularized one. This amounts to endowing additional integrability on the collision kernel, which in turn enables us to apply simple Holder type inequalities. Our results cover the whole range of Lebesgue exponents: 0 < p <= infinity (C) 2011 Elsevier Inc. All rights reserved.
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Issue Date
- 2011-07
- Language
- English
- Article Type
- Article
- Keywords
GLOBAL EXISTENCE; EXTERNAL FORCES; STABILITY; VACUUM; GAS; UNIQUENESS; SPACE
- Citation
JOURNAL OF DIFFERENTIAL EQUATIONS, v.251, no.1, pp.45 - 57
- ISSN
- 0022-0396
- Appears in Collection
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