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An Existence Theorem for Wave‐Type Hyperbolic Hemivariational Inequalities
Author(s) -
Gasiński Leszek,
Smołka Maciej
Publication year - 2002
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/1522-2616(200207)242:1<79::aid-mana79>3.0.co;2-s
Subject(s) - mathematics , subderivative , lipschitz continuity , regularization (linguistics) , mathematical analysis , type (biology) , operator (biology) , pure mathematics , regular polygon , geometry , convex optimization , ecology , biochemistry , chemistry , repressor , artificial intelligence , computer science , transcription factor , gene , biology
In this paper we prove the existence of solutions for a hyperbolic hemivariationalinequality of the form u ″ + Bu + ∂ j ( u ) ∋ f where B is a linear elliptic operator and ∂ j is the Clarke subdifferential of a locally Lipschitz function j . Our result is based on the parabolic regularization method.