Citation:
Bouhoufani O, Hamchi I. Coupled System of Nonlinear HyperbolicEquations with Variable-Exponents: GlobalExistence and Stability. Mediterr. J. Math [Internet]. 2020;17 (166).
Abstract:
In this paper, we consider a coupled system of two nonlinear
hyperbolic equations with variable-exponents in the damping and source
terms. Under suitable assumptions on the intial data and the variable
exponents, we prove a global existence theorem, using the Stable-set
method. Then, we establish a decay estimate of the solution energy, by
Komornik’s integral approach.