An Existence Theorem for Wave-Type Hyperbolic Hemivariational Inequalities

✍ Scribed by Leszek Gasiński; Maciej Smołka

• Publisher: John Wiley and Sons
• Year: 2002
• Tongue: English
• Weight: 188 KB
• Volume: 242
• Category: Article
• ISSN: 0025-584X
• DOI: 10.1002/1522-2616(200207)242:1<79::aid-mana79>3.0.co;2-s

✦ Synopsis

In this paper we prove the existence of solutions for a hyperbolic hemivariational inequality of the form

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.