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Open Access Research

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

Yunzhu Gao1 and Wenjie Gao2

Author affiliations

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

2 Institute of Mathematics, Jilin University, Changchun, 130012, P.R. China

Citation and License

Boundary Value Problems 2013, 2013:76  doi:10.1186/1687-2770-2013-76

Published: 5 April 2013

Abstract

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.

Keywords:
existence; blow-up; parabolic system; hyperbolic system; variable exponent