Existence of weak solutions for viscoelastic hyperbolic equations with variable exponents

Boundary value problems

Yunzhu Gao¹  Wenjie Gao² 

[1] Department of Mathematics and Statistics, Beihua University, Jilin, P.R. China;Institute of Mathematics, Jilin University, Changchun, P.R. China

关键词: existence;    weak solutions;    viscoelastic;    variable exponents;   

DOI  :  10.1186/1687-2770-2013-208

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY