General Decay of Solutions for a Viscoelastic Equation with Balakrishnan-taylor Damping
نویسنده
چکیده
Abstract. A viscoelastic equation with Balakrishnan-Taylor damping and nonlinear boundary/interior sources is considered in a bounded domain. Under appropriate assumptions on the relaxation function and with certain initial data and by adopting the perturbed energy method, we establish uniform decay rate of the solution energy in terms of the behavior of the relaxation function, which are not necessarily of exponential or polynomial decay.
منابع مشابه
General decay of solutions for Kirchhoff type containing Balakrishnan-Taylor damping with a delay and acoustic boundary conditions
*Correspondence: [email protected] 2Department of Mathematics Education, Seowon University, Cheongju, 28674, South Korea Full list of author information is available at the end of the article Abstract In this paper, we are concerned with the general decay result of the quasi-linear wave equation for Kirchhoff type containing Balakrishnan-Taylor damping with a delay in the boundary feedback and a...
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Received March 26, 2015, accepted June 1, 2015. Communicated by Yingfei Yi. 2010 Mathematics Subject Classification: 35L70, 35B41.
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