Study of solutions to an initial and boundary value problem for certain systems with variable exponents

Boundary value problems

Yunzhu Gao¹  Wenjie Gao² 

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

关键词: existence;    blow-up;    parabolic system;    hyperbolic system;    variable exponent;   

DOI  :  10.1186/1687-2770-2013-76

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, the existence and blow-up property of solutions to an initial and boundary value problem for a nonlinear parabolic system with variable exponents is studied. Meanwhile, the blow-up property of solutions for a nonlinear hyperbolic system is also obtained.

【 授权许可】

CC BY