Regularity and uniqueness in quasilinear parabolic systems
| dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
| dc.bibliographicCitation.volume | 1340 | |
| dc.contributor.author | Krejčí, Pavel | |
| dc.contributor.author | Panizzi, Lucia | |
| dc.date.accessioned | 2016-03-24T17:38:22Z | |
| dc.date.available | 2019-06-28T08:03:14Z | |
| dc.date.issued | 2008 | |
| dc.description.abstract | Inspired by a problem in steel metallurgy, we prove the existence, regularity, uniqueness, and continuous data dependence of solutions to a coupled parabolic system in a smooth bounded 3D domain, with nonlinear and nonhomogeneous boundary conditions. The nonlinear coupling takes place in the diffusion coefficient. The proofs are based on anisotropic estimates in tangential and normal directions, and on a refined variant of the Gronwall lemma. | |
| dc.description.version | publishedVersion | eng |
| dc.format | application/pdf | |
| dc.identifier.issn | 0946-8633 | |
| dc.identifier.uri | https://doi.org/10.34657/3093 | |
| dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/2002 | |
| dc.language.iso | eng | eng |
| dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | |
| dc.relation.issn | 0946-8633 | eng |
| dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
| dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
| dc.subject.ddc | 510 | |
| dc.subject.other | Parabolic system | eng |
| dc.subject.other | regularity | eng |
| dc.subject.other | uniqueness | eng |
| dc.title | Regularity and uniqueness in quasilinear parabolic systems | |
| dc.type | Report | eng |
| dc.type | Text | eng |
| tib.accessRights | openAccess | eng |
| wgl.contributor | WIAS | eng |
| wgl.subject | Mathematik | eng |
| wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
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