A note on a parabolic equation with nonlinear dynamical boundary condition
dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
dc.bibliographicCitation.volume | 1378 | |
dc.contributor.author | Sprekels, Jürgen | |
dc.contributor.author | Wu, Hao | |
dc.date.accessioned | 2016-03-24T17:38:26Z | |
dc.date.available | 2019-06-28T08:03:38Z | |
dc.date.issued | 2008 | |
dc.description.abstract | We consider a semilinear parabolic equation subject to a nonlinear dynamical boundary condition that is related to the so-called Wentzell boundary condition. First, we prove the existence and uniqueness of global solutions as well as the existence of a global attractor. Then we derive a suitable Lojasiewicz-Simon type inequality to show the convergence of global solutions to single steady states as time tends to infinity under the assumption that the nonlinear terms f, g are real analytic. Moreover, we provide an estimate for the convergence rate. | eng |
dc.description.version | publishedVersion | eng |
dc.format | application/pdf | |
dc.identifier.issn | 0946-8633 | |
dc.identifier.uri | https://doi.org/10.34657/1878 | |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/2070 | |
dc.language.iso | eng | eng |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
dc.relation.issn | 0946-8633 | eng |
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.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.subject.ddc | 510 | eng |
dc.subject.other | Parabolic equation | eng |
dc.subject.other | dynamical boundary condition | eng |
dc.subject.other | global attractor | eng |
dc.subject.other | convergence to equilibrium | eng |
dc.subject.other | Lojasiewicz-Simon inequality | eng |
dc.title | A note on a parabolic equation with nonlinear dynamical boundary condition | eng |
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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