Citation:
Ghegal S, Hamchi I, Messaoudi SA. Global existence and stability of a nonlinear wave equation with variable-exponent nonlinearities. Applicable Analysis [Internet]. 2020;99 (8).
Abstract:
In this paper, we consider a nonlinear wave equation with damping and source terms of variable-exponent types. First, we use the stable-set method to prove a global result. Then, by applying an integral inequality due to Komornik, we obtain the stability result.