当前位置: X-MOL 学术Mediterr. J. Math. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Coupled System of Nonlinear Hyperbolic Equations with Variable-Exponents: Global Existence and Stability
Mediterranean Journal of Mathematics ( IF 1.1 ) Pub Date : 2020-09-09 , DOI: 10.1007/s00009-020-01589-1
Oulia Bouhoufani , Ilhem Hamchi

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.

中文翻译:

具可变指数的非线性双曲方程的耦合系统:整体存在性和稳定性

在本文中,我们考虑在阻尼项和源项中具有可变指数的两个非线性双曲方程的耦合系统。在初始数据和变量指数的适当假设下,我们使用稳定集方法证明了一个整体存在定理。然后,我们通过Komornik的积分方法建立了溶液能量的衰减估计。
更新日期:2020-09-09
down
wechat
bug