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dc.contributor.CRUESPUniversidade Estadual de Campinaspt_BR
dc.typeArtigo de periódicopt_BR
dc.titleExistence and asymptotic behavior for a singular parabolic equationpt_BR
dc.contributor.authorDavila, Jpt_BR
dc.contributor.authorMontenegro, Mpt_BR
unicamp.authorUniv Chile, CNRS, Ctr Modelamiento Matemat,UMR, Dipartimento Ingn Matemat, Santiago, Chile Univ Estadual Campinas, IMECC, Dept Matemat, BR-13084970 Campinas, SP, Brazilpt_BR
dc.subjectsingular parabolic equationpt_BR
dc.subjectquenching problempt_BR
dc.subject.wosQuenching Problemspt_BR
dc.description.abstractWe prove global existence of nonnegative solutions to the singular parabolic equation ut - Deltau+chi ({u> 0})(- u(-beta) +lambdaf(u)) = 0 in a smooth bounded domain Omega subset of R-N with zero Dirichlet boundary condition and initial condition u(0) is an element of C(Omega), u(0) greater than or equal to 0. In some cases we are also able to treat u(0) is an element of L-infinity(Omega). Then we show that if the stationary problem admits no solution which is positive a. e., then the solutions of the parabolic problem must vanish in finite time, a phenomenon called "quenching". We also establish a converse of this fact and study the solutions with a positive initial condition that leads to uniqueness on an appropriate class of
dc.relation.ispartofTransactions Of The American Mathematical Societypt_BR
dc.relation.ispartofabbreviationTrans. Am. Math. Soc.pt_BR
dc.publisherAmer Mathematical Socpt_BR
dc.identifier.citationTransactions Of The American Mathematical Society. Amer Mathematical Soc, v. 357, n. 5, n. 1801, n. 1828, 2005.pt_BR
dc.sourceWeb of Sciencept_BR
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