Existence of solutions for wave-type hemivariational inequalities with noncoercive viscosity damping
type: Item
instance of: scholarly article
title: Existence of solutions for wave-type hemivariational inequalities with noncoercive viscosity damping
zbMATH Open document ID: 1003.49005
DOI: 10.1016/S0022-247X(02)00057-4
author: Leszek Gasiński
author: Maciej Smołka
published in: Journal of Mathematical Analysis and Applications
publication date: 2002-09-17T00:00:00Z
review text: A general hyperbolic hemivariational inequality is studied under the assumption that, in the term with the first order derivative of the unknown, the linear operator is not necessarily coercive. The nonlinear part of the equation is expressed by means of the generalized gradient of a locally Lipschitz function whose growth is strictly sublinear. The presence of the generalized gradient applied to the unknown determines for the problem the character of hemivariational inequality. The existence of solutions is proved on the basis of a special parabolic regularization technique and a suitable approximation method. Applications are given to treat various types of sine-Gordon equations.
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 49J52
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 1801638
zbMATH Keywords: hemivariational inequalities
zbMATH Keywords: Clarke subdifferential
zbMATH Keywords: viscosity damping
zbMATH Keywords: sine-Gordon equations
reviewed by: Dumitru Motreanu
MaRDI profile type: Publication
Wikidata QID: Q112251864
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description: scientific article; zbMATH DE number 1801638