Energy decay for degenerate Kirchhoff equations with weakly nonlinear dissipation

Autor: Mama Abdelli, Salim A. Messaoudi
Jazyk: angličtina
Rok vydání: 2013
Předmět:
Zdroj: Electronic Journal of Differential Equations, Vol 2013, Iss 222,, Pp 1-7 (2013)
Druh dokumentu: article
ISSN: 1072-6691
Popis: 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 functions, without imposing any growth condition at the frictional damping term.
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