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dc.contributor.authorHenriques, Eurica-
dc.contributor.authorUrbano, José Miguel-
dc.identifier.citationPré-Publicações DMUC. 04-07 (2004)en_US
dc.description.abstractWe prove that local weak solutions of a nonlinear parabolic equation with a doubly singular character are locally continuous. One singularity occurs in the time derivative and is due to the presence of a maximal monotone graph; the other comes up in the principal part of the PDE, where the p-Laplace operator is considered. The paper extends to the singular case 1 < p < 2, the results obtained previously by the second author for the degenerate case p > 2; it completes a regularity theory for a type of PDEs that model phase transitions for a material obeying a nonlinear law of di usion.en_US
dc.description.sponsorshipCMUC/FCT; Project POCTI/34471/MAT/2000en_US
dc.publisherCentro de Matemática da Universidade de Coimbraen_US
dc.subjectDoubly singular PDEen_US
dc.subjectRegularity theoryen_US
dc.subjectIntrinsic scalingen_US
dc.subjectPhase transitionen_US
dc.titleOn the doubly singular equation g(u)t= Dpuen_US
item.fulltextCom Texto completo-
item.languageiso639-1en- of Sciences and Technology- of Coimbra- - Centre for Mathematics of the University of Coimbra-
Appears in Collections:FCTUC Matemática - Artigos em Revistas Nacionais
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