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arXiv · 1704.07295

General enegy decay for a viscoelastic equation of Kirchhoff type with acoustic boundary conditions

A. Maatoug
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Abstract

This paper is concerned with a viscoelastic equation of Kirchhoff type with acoustic boundary conditions in a bounded domain of $\mathbb{R}^{n}.$ We show that, under suitable conditions on the initial data, the solution exists globally in time. Then, we prove the general energy decay of global solutions by applying a lemma of P. Martinez, wihch allows us to get our decay result for a class of relaxation functions wider than that usually used.

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A. Maatoug. 2017-04-24. General enegy decay for a viscoelastic equation of Kirchhoff type with acoustic boundary conditions. https://doi.org/10.1007/s00009-017-1038-z

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