Uniform decay of solutions for a nonlinear viscoelastic wave equation with boundary dissipation
type: Item
instance of: scholarly article
title: Uniform decay of solutions for a nonlinear viscoelastic wave equation with boundary dissipation
zbMATH Open document ID: 1254.35026
DOI: 10.1155/2012/421847
author: Shun-Tang Wu
author: Hsueh-Fang Chen
published in: Journal of Function Spaces and Applications
publication date: 2012-11-07T00:00:00Z
review text: Summary: We consider a nonlinear viscoelastic wave equation \[ u_{tt}(t) - k_0\Delta u(t) + \int^t_0 g(t - s)\text{div}(a(x)\nabla u(s))ds + b(x)u_t = f(u) \] with nonlinear boundary damping in a bounded domain \(\Omega\). Under appropriate assumptions imposed on \(g\) and with certain initial data, we establish the general decay rate of the solution energy which is not necessarily of exponential or polynomial type. This work generalizes and improves earlier results in the literature.
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35L20
Mathematics Subject Classification ID: 35L71
Mathematics Subject Classification ID: 35R09
zbMATH DE Number: 6102733
zbMATH Keywords: general decay rate
Wikidata QID: Q58908251
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/421847
OpenAlex ID: W2099161525
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description: scientific article; zbMATH DE number 6102733