Existence of solutions for a variational unilateral system

Existence of solutions for a variational unilateral system

In this work the authors study the existence of weak solutions of the nonlinear unilateral mixed problem associated to the inequalities $$ displaylines{ u_{tt}-M(| abla u| ^{2})Delta u+heta geq f, cr heta_t-Delta heta +u_tgeq g ,} $$ where $f$, $g$, $M$ are given real-valued functions with $M$ posit...

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Bibliographic Details
Main Authors: Marcondes R. Clark, Osmundo A. Lima
Format: Article
Language:English
Published: Texas State University 2002-02-01
Series:Electronic Journal of Differential Equations
Subjects:
weak solutions
variational unilateral nonlinear problem
Galerkin method
penalization method.
Online Access:http://ejde.math.txstate.edu/Volumes/2002/22/abstr.html
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spelling doaj-53e5e553d9ed45e985bac373510da41a2020-11-24T22:16:42ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912002-02-01200222118Existence of solutions for a variational unilateral systemMarcondes R. ClarkOsmundo A. LimaIn this work the authors study the existence of weak solutions of the nonlinear unilateral mixed problem associated to the inequalities $$ displaylines{ u_{tt}-M(| abla u| ^{2})Delta u+heta geq f, cr heta_t-Delta heta +u_tgeq g ,} $$ where $f$, $g$, $M$ are given real-valued functions with $M$ positive. http://ejde.math.txstate.edu/Volumes/2002/22/abstr.htmlweak solutionsvariational unilateral nonlinear problemGalerkin methodpenalization method.
collection DOAJ
language English
format Article
sources DOAJ
author Marcondes R. Clark
Osmundo A. Lima
spellingShingle Marcondes R. Clark
Osmundo A. Lima
Existence of solutions for a variational unilateral system
Electronic Journal of Differential Equations
weak solutions
variational unilateral nonlinear problem
Galerkin method
penalization method.
author_facet Marcondes R. Clark
Osmundo A. Lima
author_sort Marcondes R. Clark
title Existence of solutions for a variational unilateral system
title_short Existence of solutions for a variational unilateral system
title_full Existence of solutions for a variational unilateral system
title_fullStr Existence of solutions for a variational unilateral system
title_full_unstemmed Existence of solutions for a variational unilateral system
title_sort existence of solutions for a variational unilateral system
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 2002-02-01
description In this work the authors study the existence of weak solutions of the nonlinear unilateral mixed problem associated to the inequalities $$ displaylines{ u_{tt}-M(| abla u| ^{2})Delta u+heta geq f, cr heta_t-Delta heta +u_tgeq g ,} $$ where $f$, $g$, $M$ are given real-valued functions with $M$ positive.
topic weak solutions
variational unilateral nonlinear problem
Galerkin method
penalization method.
url http://ejde.math.txstate.edu/Volumes/2002/22/abstr.html
work_keys_str_mv AT marcondesrclark existenceofsolutionsforavariationalunilateralsystem
AT osmundoalima existenceofsolutionsforavariationalunilateralsystem
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