| dc.contributor.author | Guo, Yan | * |
| dc.contributor.author | Kim, Chanwoo | * |
| dc.contributor.author | Tonon, Daniela | * |
| dc.contributor.author | Trescases, Ariane | * |
| dc.date.accessioned | 2016-09-16T17:52:10Z | |
| dc.date.available | 2016-09-16T17:52:10Z | |
| dc.date.issued | 2017 | |
| dc.identifier.issn | 0020-9910 | |
| dc.identifier.uri | https://basepub.dauphine.fr/handle/123456789/15797 | |
| dc.language.iso | en | en |
| dc.subject | Boltzmann | |
| dc.subject.ddc | 519 | en |
| dc.title | Regularity of the Boltzmann equation in convex domains | |
| dc.type | Article accepté pour publication ou publié | |
| dc.description.abstracten | A basic question about regularity of Boltzmann solutions in the presence of physical boundary conditions has been open due to characteristic nature of the boundary as well as the non-local mixing of the collision operator. Consider the Boltzmann equation in a strictly convex domain with the specular, bounce-back and diffuse boundary condition. With the aid of a distance function toward the grazing set, we construct weighted classical C1 solutions away from the grazing set for all boundary conditions. For the diffuse boundary condition, we construct W1,p solutions for 1<p<2 and weighted W1,p solutions for 2≤p≤∞ as well. | |
| dc.relation.isversionofjnlname | Inventiones Mathematicae | |
| dc.relation.isversionofjnlvol | 207 | |
| dc.relation.isversionofjnlissue | 1 | |
| dc.relation.isversionofjnldate | 2017 | |
| dc.relation.isversionofjnlpages | 115-290 | |
| dc.relation.isversionofdoi | 10.1007/s00222-016-0670-8 | |
| dc.identifier.urlsite | https://arxiv.org/abs/1212.1694v4 | |
| dc.relation.isversionofjnlpublisher | Springer | |
| dc.subject.ddclabel | Probabilités et mathématiques appliquées | en |
| dc.relation.forthcoming | non | en |
| dc.relation.forthcomingprint | oui | en |
| dc.description.ssrncandidate | non | |
| dc.description.halcandidate | oui | |
| dc.description.readership | recherche | |
| dc.description.audience | International | |
| dc.relation.Isversionofjnlpeerreviewed | oui | |
| dc.date.updated | 2017-03-22T14:32:09Z | |
| hal.person.labIds | 229445 | * |
| hal.person.labIds | | * |
| hal.person.labIds | 60 | * |
| hal.person.labIds | 62 | * |
