Energy decay rates for von Kármán system with memory and boundary feedback

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摘要

In this paper we study the von Kármán plate model with long-range memory and boundary nonlinear feedback. We establish an explicit and general decay rate result, using some properties of the convex functions. Our result is obtained without imposing any restrictive growth assumption on the damping term and strongly weakening the usual assumptions on the relaxation function.

论文关键词:Viscoelastic,Von Kármán system,General decay rate,Boundary damping,Convexity

论文评审过程:Available online 23 March 2012.

论文官网地址:https://doi.org/10.1016/j.amc.2012.02.053