Energy decay for degenerate Kirchhoff equations with weakly nonlinear dissipation

In this article we consider a degenerate Kirchhoff equation wave equation with a weak frictional damping, $$ (|u_t|^{l-2}u_t)_t-\Big( \int_{\Omega }|\nabla _x u|^{2}\,dx\Big)^{\gamma } \Delta _xu+\alpha (t)g(u_t)=0. $$ We prove general stability estimates using some properties of convex funct...

Full description

Bibliographic Details
Main Authors: Mama Abdelli, Salim A. Messaoudi
Format: Article
Language:English
Published: Texas State University 2013-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2013/222/abstr.html