Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/1555
Título: | Variational problems with non-constant gradient constraints |
Autor(es): | Santos, Lisa |
Palavras-chave: | Parabolic variational inequality Parabolic PDE Free boundary problem |
Data: | 2002 |
Editora: | Sociedade 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. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/1555 |
ISSN: | 0032-5155 |
Arbitragem científica: | yes |
Acesso: | Acesso aberto |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals DMAT - Artigos (Papers) |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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LisaSantos_rgu_PM2002.pdf | 278,29 kB | Adobe PDF | Ver/Abrir |