On the Exponential Decay of Solutions for Some Kirchhoff-Type Modelling Equations with Strong Dissipation

Yaojun Ye

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DOI: 10.4236/am.2010.16070                

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.

Keywords

Kirchhoff-type Equation; Initial Boundary Value Problem; Stable Set; Exponential Decay Estimate

Conflicts of Interest

The authors declare no conflicts of interest.

References

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