Utilize este identificador para referenciar este registo: http://hdl.handle.net/1822/1555

TítuloVariational problems with non-constant gradient constraints
Autor(es)Santos, Lisa
Palavras-chaveParabolic variational inequality
Parabolic PDE
Free boundary problem
Data2002
EditoraSociedade Portuguesa de Matemática (SPM)
Citação"Portugaliæ mathematica". ISSN 0032-5155. 59:2 (2002) 205-248.
Resumo(s)This paper studies existence, uniqueness, continuous dependence on the given data and the asymptotic behavior of the solution of an evolutive variational inequality with non-constant gradient constraint and homogeneous Dirichlet boundary condition. With assumptions on the given data, we prove existence of solution for a variational inequality with two obstacles, a Lagrange multiplier problem and an equation with gradient constraint. Equivalence of these problems with the variational inequality with gradient constraint is proved. An example of non-equivalence among these problems is given in order to show the necessity of the assumptions.
Tipoarticle
URIhttp://hdl.handle.net/1822/1555
ISSN0032-5155
Arbitragem científicayes
AcessoopenAccess
Aparece nas coleções:DMAT - Artigos (Papers)
CMAT - Artigos com arbitragem/Papers with refereeing

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