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
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;
Conference_Titel :
Control Conference (CCC), 2011 30th Chinese
Conference_Location :
Yantai
Print_ISBN :
978-1-4577-0677-6
Electronic_ISBN :
1934-1768
