Applied Mathematics

Volume 1, Issue 6 (December 2010)

ISSN Print: 2152-7385   ISSN Online: 2152-7393

Google-based Impact Factor: 0.96  Citations  

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

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DOI: 10.4236/am.2010.16070    6,084 Downloads   11,478 Views  Citations
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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.

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Ye, Y. (2010) On the Exponential Decay of Solutions for Some Kirchhoff-Type Modelling Equations with Strong Dissipation. Applied Mathematics, 1, 529-533. doi: 10.4236/am.2010.16070.

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