Study of solutions to an initial and boundary value problem for certain systems with variable exponents
1 Department of Mathematics and Statistics, Beihua University, Jilin City, P.R. China
2 Institute of Mathematics, Jilin University, Changchun, 130012, P.R. China
Boundary Value Problems 2013, 2013:76 doi:10.1186/1687-2770-2013-76Published: 5 April 2013
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.