A note on a parabolic equation with nonlinear dynamical boundary condition

dc.bibliographicCitation.seriesTitleWIAS Preprintseng
dc.bibliographicCitation.volume1378
dc.contributor.authorSprekels, Jürgen
dc.contributor.authorWu, Hao
dc.date.accessioned2016-03-24T17:38:26Z
dc.date.available2019-06-28T08:03:38Z
dc.date.issued2008
dc.description.abstractWe 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.versionpublishedVersioneng
dc.formatapplication/pdf
dc.identifier.issn0946-8633
dc.identifier.urihttps://doi.org/10.34657/1878
dc.identifier.urihttps://oa.tib.eu/renate/handle/123456789/2070
dc.language.isoengeng
dc.publisherBerlin : Weierstraß-Institut für Angewandte Analysis und Stochastikeng
dc.relation.issn0946-8633eng
dc.rights.licenseThis 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.licenseDieses 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.ddc510eng
dc.subject.otherParabolic equationeng
dc.subject.otherdynamical boundary conditioneng
dc.subject.otherglobal attractoreng
dc.subject.otherconvergence to equilibriumeng
dc.subject.otherLojasiewicz-Simon inequalityeng
dc.titleA note on a parabolic equation with nonlinear dynamical boundary conditioneng
dc.typeReporteng
dc.typeTexteng
tib.accessRightsopenAccesseng
wgl.contributorWIASeng
wgl.subjectMathematikeng
wgl.typeReport / Forschungsbericht / Arbeitspapiereng
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