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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… Click to show full 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.
Keywords:
variable exponents;
equations variable;
hyperbolic equations;
global existence;
coupled system;
nonlinear hyperbolic
Journal Title: Mediterranean Journal of Mathematics
Year Published: 2020
Link to full text (if available)
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Journal Title: Mediterranean Journal of Mathematics
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!