Coupled System of Nonlinear Hyperbolic Equations with Variable-Exponents: Global Existence and Stability

被引：0
作者：
Oulia Bouhoufani
Ilhem Hamchi
机构：
[1] University of Batna 2,Laboratory of LEDPA, Mathematics Department
来源：
Mediterranean Journal of Mathematics | 2020年 / 17卷
关键词：
Coupled system; Global existence; Hyperbolic equation; Stability; Variable-exponents; 35L05; 35B40; 35L70; 93D20;
D O I：
暂无
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学科分类号：
摘要：
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.
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