Uniform Decay of Solutions for a Nonlinear Viscoelastic Wave Equation with Boundary Dissipation
Joint Authors
Source
Journal of Function Spaces and Applications
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-10-04
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
We consider a nonlinear viscoelastic wave equation utt(t)-k0Δu(t)+∫0tg(t-s)div (a(x)∇u(s))ds+b(x)ut=f(u), with nonlinear boundary damping in a bounded domain Ω.
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.
American Psychological Association (APA)
Wu, Shun-Tang& Chen, Hsueh-Fang. 2012. Uniform Decay of Solutions for a Nonlinear Viscoelastic Wave Equation with Boundary Dissipation. Journal of Function Spaces and Applications،Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-470965
Modern Language Association (MLA)
Wu, Shun-Tang& Chen, Hsueh-Fang. Uniform Decay of Solutions for a Nonlinear Viscoelastic Wave Equation with Boundary Dissipation. Journal of Function Spaces and Applications No. 2012 (2012), pp.1-17.
https://search.emarefa.net/detail/BIM-470965
American Medical Association (AMA)
Wu, Shun-Tang& Chen, Hsueh-Fang. Uniform Decay of Solutions for a Nonlinear Viscoelastic Wave Equation with Boundary Dissipation. Journal of Function Spaces and Applications. 2012. Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-470965
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-470965