Gain of regularity for the relativistic collision operator
SCIE
- Title
- Gain of regularity for the relativistic collision operator
- Authors
- Jang, Jin Woo; Yun, Seok-Bae
- Date Issued
- 2019-04
- Publisher
- PERGAMON-ELSEVIER SCIENCE LTD
- Abstract
- We study a regularity property for the gain part of the relativistic Boltzmann collision operator. Our assumptions on the collisional cross-section cover the full range of generic hard and soft potentials with angular cut-off. We first take the Fourier transform of the gain operator and extract the modulus of Fourier symbol of the first order by exploiting the positive-definiteness of the relativistic correction in the post-collisional momentum. We then provide two different proofs based on Young's convolution inequality and the Hardy-Littlewood-Sobolev inequality. (C) 2018 Elsevier Ltd. All rights reserved.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/107594
- DOI
- 10.1016/j.aml.2018.11.001
- ISSN
- 0893-9659
- Article Type
- Article
- Citation
- APPLIED MATHEMATICS LETTERS, vol. 90, page. 162 - 169, 2019-04
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