A Parabolic quasilinear problem for linear growth functionals

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dc.contributor.authorAndreu, Fuensanta
dc.contributor.authorCaselles, Vicente
dc.contributor.authorMazón, José
dc.date.accessioned2018-12-20T15:43:25Z
dc.date.available2018-12-20T15:43:25Z
dc.date.issued2002
dc.description.abstractWe prove existence and uniqueness of solutions for the Dirichlet problem for quasilinear parabolic equations in divergent form for which the energy functional has linear growth. A typical example of energy functional we consider is the one given by the nonparametric area integrand f(x,ξ)=√1+∥ξ∥2, which corresponds with the time-dependent minimal surface equation. We also study the asymptotic behaviour of the solutions.en
dc.description.sponsorshipThe first and third authors have been partially supported by the Spanish DGICYT, Project PB98-1442. The second author acknowledges partial support by the TMR European Project “Viscosity Solutions and their Applications”, reference FMRX-CT98-0234 and the PNPGC, Project BFM 2000-0962-C02-01.
dc.format.mimetypeapplication/pdf
dc.identifier.citationAndreu F, Caselles V, Mazón JM. A Parabolic quasilinear problem for linear growth functionals. Revista Matemática Iberoamericana. 2002 Abr 30;18(1):135-58. DOI: 10.4171/RMI/314
dc.identifier.doihttp://dx.doi.org/10.4171/RMI/314
dc.identifier.issn0213-2230
dc.identifier.urihttp://hdl.handle.net/10230/36166
dc.language.isoeng
dc.publisherEuropean Mathematical Society (EMS)
dc.relation.ispartofRevista Matemática Iberoamericana. 2002 Abr 30;18(1):135-58.
dc.rights© European Mathematical Society (EMS)
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.subject.keywordLinear growth functionals
dc.subject.keywordNonlinear parabolic equations
dc.subject.keywordAccretive operators
dc.subject.keywordNonlinear semigroups
dc.titleA Parabolic quasilinear problem for linear growth functionals
dc.typeinfo:eu-repo/semantics/article
dc.type.versioninfo:eu-repo/semantics/acceptedVersion

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