Citation:
Bouhoufani O, Hamchi I. Coupled System of Nonlinear Hyperbolic Equations with Variable-Exponents: Global Existence and Stability (vol 17, 166, 2020). MEDITERRANEAN JOURNAL OF MATHEMATICS [Internet]. 2021;18.
Date Published:
2021Abstract:
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.