On weak solutions for hyperbolic differential inclusion with discontinuous nonlinearities
type: Item
instance of: scholarly article
title: On weak solutions for hyperbolic differential inclusion with discontinuous nonlinearities
zbMATH Open document ID: 1032.35144
DOI: 10.1016/S0362-546X(03)00216-5
author: Sun Hye Park
author: Jong Yeoul Park
author: Hyun-Min Kim
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2003-11-16T00:00:00Z
review text: The paper concerns with a mixed problem for the following quasilinear hyperbolic equation with a strong damping \[ u_{tt} - \nabla(|\nabla u|^{p-2} \nabla u) - \Delta u_t + \Xi = f, \] where \( \Xi(t,x) \in \varphi(u'(t,x)) \) and \( \varphi\) is a discontinuous nonlinear set valued mapping. The existence of global weak solutions as well as the asymptotic behavior of them are studied.
Mathematics Subject Classification ID: 35L85
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35R70
zbMATH DE Number: 2003972
zbMATH Keywords: mixed problem
MaRDI profile type: Publication
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full work available at URL: s0362-546x(03)00216-5
OpenAlex ID: W2069814331
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description: scientific article; zbMATH DE number 2003972