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On the Exponential Decay of Solutions for Some Kirchhoff-Type Modelling Equations with Strong Dissipation
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Applied Mathematics·Volume 01 (2010)·Pages 529–533·Published 27 December 2010·DOI10.4236/am.2010.16070
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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.
KeywordsKirchhoff-type EquationInitial Boundary Value ProblemStable SetExponential Decay Estimate
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