Decay rates for a viscoelastic wave equation with Balakrishnan-Taylor and frictional dampings

Baowei Feng, Yong Han Kang

DOI: http://dx.doi.org/10.12775/TMNA.2019.047

Abstract


In this paper we are concerned with a viscoelastic wave equation with Balakrishnan-Taylor damping and frictional damping. By using the multiplier method and some properties of convex functions, we establish general energy decay rates of the equation without imposing any growth assumption near the origin on the frictional term and strongly weakening the usual assumptions on the relaxation term. Our stability result generalizes the earlier related results.

Keywords


General decay; Balakrishnan-Taylor damping; weak frictional damping; convexity; memory

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