General decay for a system of nonlinear viscoelastic wave equations with weak damping
1 College of Information Science and Technology, Donghua University, Shanghai, 201620, P.R. China
2 Department of Applied Mathematics, Donghua University, Shanghai, 201620, P.R. China
Boundary Value Problems 2012, 2012:146 doi:10.1186/1687-2770-2012-146Published: 13 December 2012
In this paper, we are concerned with a system of nonlinear viscoelastic wave equations with initial and Dirichlet boundary conditions in (). Under suitable assumptions, we establish a general decay result by multiplier techniques, which extends some existing results for a single equation to the case of a coupled system.
MSC: 35L05, 35L55, 35L70.