Utilize este identificador para referenciar este registo: http://hdl.handle.net/1822/19984

TítuloQuasivariational solutions for first order quasilinear equations with gradient constraint
Autor(es)Santos, Lisa
Rodrigues, José Francisco
Data2012
EditoraSpringer
RevistaArchive for Rational Mechanics and Analysis
Resumo(s)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.
Tipoarticle
URIhttp://hdl.handle.net/1822/19984
DOI10.1007/s00205-012-0511-x
ISSN0003-9527
Versão da editorahttp://dx.doi.org/10.1007/s00205-012-0511-x
Arbitragem científicayes
AcessoopenAccess
Aparece nas coleções:CMAT - Artigos com arbitragem/Papers with refereeing

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