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TitleVariational problems with non-constant gradient constraints
Author(s)Santos, Lisa
KeywordsParabolic variational inequality
Parabolic PDE
Free boundary problem
Issue date2002
PublisherSociedade Portuguesa de Matemática (SPM)
Citation"Portugaliæ mathematica". ISSN 0032-5155. 59:2 (2002) 205-248.
Abstract(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.
AccessOpen access
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals
DMAT - Artigos (Papers)

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