Existence of weak solutions for viscoelastic hyperbolic equations with variable exponents
1 Department of Mathematics and Statistics, Beihua University, Jilin, P.R. China
2 Institute of Mathematics, Jilin University, Changchun, P.R. China
Boundary Value Problems 2013, 2013:208 doi:10.1186/1687-2770-2013-208Published: 11 September 2013
The authors of this paper study a nonlinear viscoelastic equation with variable exponents. By using the Faedo-Galerkin method and embedding theory, the existence of weak solutions is given to the initial and boundary value problem under suitable assumptions.