Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/19984
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Campo DC | Valor | Idioma |
---|---|---|
dc.contributor.author | Santos, Lisa | - |
dc.contributor.author | Rodrigues, José Francisco | - |
dc.date.accessioned | 2012-07-23T12:36:17Z | - |
dc.date.available | 2012-07-23T12:36:17Z | - |
dc.date.issued | 2012 | - |
dc.identifier.issn | 0003-9527 | por |
dc.identifier.uri | https://hdl.handle.net/1822/19984 | - |
dc.description.abstract | We prove the existence of solutions for an evolution quasi-variational inequality with a first order quasilinear operator and a variable convex set which is characterized by a constraint on the absolute value of the gradient that depends on the solution itself. The only required assumption on the nonlinearity of this constraint is its continuity and positivity. The method relies on an appropriate parabolic regularization and suitable <em> a priori</em> estimates. We obtain also the existence of stationary solutions, by studying the asymptotic behaviour in time. In the variational case, corresponding to a constraint independent of the solution, we also give uniqueness results. | por |
dc.description.sponsorship | Fundação para a Ciência e Tecnologia | por |
dc.language.iso | eng | por |
dc.publisher | Springer | por |
dc.rights | openAccess | por |
dc.title | Quasivariational solutions for first order quasilinear equations with gradient constraint | por |
dc.type | article | por |
dc.peerreviewed | yes | por |
dc.relation.publisherversion | http://dx.doi.org/10.1007/s00205-012-0511-x | por |
sdum.publicationstatus | published | por |
oaire.citationStartPage | 493 | por |
oaire.citationEndPage | 514 | por |
oaire.citationIssue | 2 | por |
oaire.citationTitle | Archive for Rational Mechanics and Analysis | por |
oaire.citationVolume | 205 | por |
dc.identifier.doi | 10.1007/s00205-012-0511-x | por |
dc.subject.wos | Science & Technology | por |
sdum.journal | Archive for Rational Mechanics and Analysis | por |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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RodriguesSantos2012RepositoriUM.pdf | 285,22 kB | Adobe PDF | Ver/Abrir |