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Dynamic Hemivariational Inequalities and Their Applications
Authors:Goeleven  D.  Miettinen  M.  Panagiotopoulos  P. D.
Affiliation:(1) Institut de Recherche en Mathématiques et Informatique Appliquées, Université de La Réunion, Saint-Denis, Ile de La Réunion, France;(2) Department of Mathematics, University of Jyväskylä, Jyväskylä, Finland;(3) Department of Civil Engineering, Aristotle University, Thessaloniki, Greece;;(4) Faculty of Mathematics and Physics, RWTH, Aachen, Germany
Abstract:Dynamic hemivariational inequalities are studied in the present paper. Starting from their solution in the distributional sense, we give certain existence and approximation results by using the Faedo–Galerkin method and certain compactness arguments. Applications from mechanics (viscoelasticity) illustrate the theory.
Keywords:Hyperbolic hemivariational inequalities  dynamic problems  nonsmooth nonconvex energy function
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