DC Field | Value | Language |
---|---|---|
dc.contributor.author | Jang, Jin Woo | - |
dc.contributor.author | Yun, Seok-Bae | - |
dc.date.accessioned | 2021-11-21T07:50:39Z | - |
dc.date.available | 2021-11-21T07:50:39Z | - |
dc.date.created | 2021-11-18 | - |
dc.date.issued | 2019-04 | - |
dc.identifier.issn | 0893-9659 | - |
dc.identifier.uri | https://oasis.postech.ac.kr/handle/2014.oak/107594 | - |
dc.description.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. | - |
dc.language | English | - |
dc.publisher | PERGAMON-ELSEVIER SCIENCE LTD | - |
dc.relation.isPartOf | APPLIED MATHEMATICS LETTERS | - |
dc.title | Gain of regularity for the relativistic collision operator | - |
dc.type | Article | - |
dc.identifier.doi | 10.1016/j.aml.2018.11.001 | - |
dc.type.rims | ART | - |
dc.identifier.bibliographicCitation | APPLIED MATHEMATICS LETTERS, v.90, pp.162 - 169 | - |
dc.identifier.wosid | 000457513300025 | - |
dc.citation.endPage | 169 | - |
dc.citation.startPage | 162 | - |
dc.citation.title | APPLIED MATHEMATICS LETTERS | - |
dc.citation.volume | 90 | - |
dc.contributor.affiliatedAuthor | Jang, Jin Woo | - |
dc.identifier.scopusid | 2-s2.0-85056950675 | - |
dc.description.journalClass | 1 | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | N | - |
dc.type.docType | Article | - |
dc.subject.keywordPlus | BOLTZMANN-EQUATION | - |
dc.subject.keywordPlus | POSITIVE PART | - |
dc.subject.keywordPlus | TERM | - |
dc.subject.keywordAuthor | Regularizing effect | - |
dc.subject.keywordAuthor | Angular cut-off | - |
dc.subject.keywordAuthor | Boltzmann equation | - |
dc.subject.keywordAuthor | Special relativity | - |
dc.subject.keywordAuthor | Collision operator | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.description.journalRegisteredClass | scie | - |
dc.relation.journalResearchArea | Mathematics | - |
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