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Received May 9, 2019; Accepted September 10, 2020; Published October 1, 2020
Abstract. In this paper, we investigate the unique existence, general decay and blow-up of solutions of an initial-boundary value problem for a viscoelastic wave equation with Robin-Dirichlet conditions. The proof is based on Faedo-Galerkin method associated with a priori estimate, weak convergence and compactness techniques. A numerical example is also given to illustrate the decay property of the solutions.
How to Cite this Article:
Le Thi Phuong Ngoc, Le Minh Tri, Le Tran Ngoc Tran, Nguyen Thanh Long, General decay and blow-up results of solutions for a viscoelastic wave equation with Robin-Dirichlet conditions, Journal of Nonlinear Functional Analysis, Vol. 2020 (2020), Article ID 42, pp. 1-26.