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1. Global existence and stability of a nonlinear wave equation with variable-exponent nonlinearities.

Author

Ghegal, Samah, Hamchi, Ilhem, and Messaoudi, Salim A.

Subjects
*NONLINEAR wave equations, *GLOBAL analysis (Mathematics), *WAVE equation, *INTEGRAL inequalities
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. [ABSTRACT FROM AUTHOR]

Published
2020
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