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Existence of weak solutions for viscoelastic hyperbolic equations with variable exponents

Yunzhu Gao1* and Wenjie Gao2

Author Affiliations

1 Department of Mathematics and Statistics, Beihua University, Jilin, P.R. China

2 Institute of Mathematics, Jilin University, Changchun, P.R. China

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Boundary Value Problems 2013, 2013:208  doi:10.1186/1687-2770-2013-208

Published: 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.

existence; weak solutions; viscoelastic; variable exponents