TITLE:
On the Exponential Decay of Solutions for Some Kirchhoff-Type Modelling Equations with Strong Dissipation
AUTHORS:
Yaojun Ye
KEYWORDS:
Kirchhoff-type Equation; Initial Boundary Value Problem; Stable Set; Exponential Decay Estimate
JOURNAL NAME:
Applied Mathematics,
Vol.1 No.6,
December
27,
2010
ABSTRACT: This paper deals with the initial boundary value problem for a class of nonlinear Kirchhoff-type equations with strong dissipative and source terms in a bounded domain, where and are constants. We obtain the global existence of solutions by constructing a stable set in and show the energy exponential decay estimate by applying a lemma of V. Komornik.