Topological degree and application to a parabolic variational inequality problem

Topological degree and application to a parabolic variational inequality problem

We are interested in constructing a topological degree for operators of the form F=L+A+S, where L is a linear densely defined maximal monotone map, A is a bounded maximal monotone operators, and S is a bounded demicontinuous map of class (S+) with respect to the domain of L. By means of this topolog...

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Main Authors: A. Addou, B. Mermri
Format: Article
Language:English
Published: Hindawi Limited 2001-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171201004306
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spelling doaj-892a4b44801d4c40a4a7953b3f4faf432020-11-24T23:22:40ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-0125427328710.1155/S0161171201004306Topological degree and application to a parabolic variational inequality problemA. Addou0B. Mermri1University Mohammed I, Faculty of Sciences, Department of Mathematics and Computing, Oujda, MoroccoUniversity Mohammed I, Faculty of Sciences, Department of Mathematics and Computing, Oujda, MoroccoWe are interested in constructing a topological degree for operators of the form F=L+A+S, where L is a linear densely defined maximal monotone map, A is a bounded maximal monotone operators, and S is a bounded demicontinuous map of class (S+) with respect to the domain of L. By means of this topological degree we prove an existence result that will be applied to give a new formulation of a parabolic variational inequality problem.http://dx.doi.org/10.1155/S0161171201004306
collection DOAJ
language English
format Article
sources DOAJ
author A. Addou
B. Mermri
spellingShingle A. Addou
B. Mermri
Topological degree and application to a parabolic variational inequality problem
International Journal of Mathematics and Mathematical Sciences
author_facet A. Addou
B. Mermri
author_sort A. Addou
title Topological degree and application to a parabolic variational inequality problem
title_short Topological degree and application to a parabolic variational inequality problem
title_full Topological degree and application to a parabolic variational inequality problem
title_fullStr Topological degree and application to a parabolic variational inequality problem
title_full_unstemmed Topological degree and application to a parabolic variational inequality problem
title_sort topological degree and application to a parabolic variational inequality problem
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2001-01-01
description We are interested in constructing a topological degree for operators of the form F=L+A+S, where L is a linear densely defined maximal monotone map, A is a bounded maximal monotone operators, and S is a bounded demicontinuous map of class (S+) with respect to the domain of L. By means of this topological degree we prove an existence result that will be applied to give a new formulation of a parabolic variational inequality problem.
url http://dx.doi.org/10.1155/S0161171201004306
work_keys_str_mv AT aaddou topologicaldegreeandapplicationtoaparabolicvariationalinequalityproblem
AT bmermri topologicaldegreeandapplicationtoaparabolicvariationalinequalityproblem
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