DocumentCode
550058
Title
Energy decay of solutions for a viscoelastic wave equation with weak nonlinear dissipation
Author
Cao Xiaomin ; Yao Pengfei
Author_Institution
Key Lab. of Syst. & Control, Acad. of Math. & Syst. Sci., Beijing, China
fYear
2011
fDate
22-24 July 2011
Firstpage
972
Lastpage
975
Abstract
In this paper, we study decay properties of the solutions for a viscoelastic wave equation with weak nonlinear dissipative term and source term, where dissipative term is time-dependent. The method we used are perturbed energy method and a weighted integral inequality.
Keywords
initial value problems; integral equations; perturbation theory; viscoelasticity; wave equations; decay properties; energy decay; initial boundary value problem; perturbed energy method; viscoelastic wave equation; weak nonlinear dissipation; weighted integral inequality; Asymptotic stability; Control systems; Damping; Educational institutions; Polynomials; Propagation; Energy decay; Viscoelastic wave equation; Weak nonlinear dissipative term;
fLanguage
English
Publisher
ieee
Conference_Titel
Control Conference (CCC), 2011 30th Chinese
Conference_Location
Yantai
ISSN
1934-1768
Print_ISBN
978-1-4577-0677-6
Electronic_ISBN
1934-1768
Type
conf
Filename
6000395
Link To Document