The Porous Medium Equation With Blowing Up Boundary Data

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datacite.alternateIdentifier.citationADVANCED NONLINEAR STUDIES,Vol.9,1-27,2009
datacite.creatorOsvaldo Venegas, T.
datacite.date2009
datacite.subject.englishBlow-up
datacite.subject.englishporous media
datacite.titleThe Porous Medium Equation With Blowing Up Boundary Data
dc.date.accessioned2021-04-30T16:25:26Z
dc.date.available2021-04-30T16:25:26Z
dc.description.abstractWe study the blow-up set. of a solution u(x, t) to the porous medium equation, u(t) = Delta(u(m)), in Omega x (0,T) for two different boundary conditions, u(x,t) = f(x)/(T - t)(1/m-1) or -partial derivative u(m)/partial derivative n(x,t) = g(x)/(T - t)(m/m-1) on partial derivative Omega x (0, T). Here m > 1 and Q is a bounded smooth domain in R-N. We establish point-wise and integral conditions on f and g respectively in order to obtain regional or global blow-up.
dc.identifier.urihttp://repositoriodigital.uct.cl/handle/10925/2544
dc.language.isoen
dc.publisherWALTER DE GRUYTER GMBH
dc.sourceADVANCED NONLINEAR STUDIES
oaire.resourceTypeWOS
oaire.resourceType.enArticle
uct.catalogadorWOS
uct.indizacionSCI
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