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

被引：19

作者：

Kang, Jum-Ran ^{[1
]}

机构：

[1] Dong A Univ, Dept Math, Pusan 604714, South Korea

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 218卷 / 18期

关键词：

Viscoelastic; Von Karman system; General decay rate; Boundary damping; Convexity; NONLINEAR VISCOELASTIC EQUATION; GENERAL DECAY; UNIFORM DECAY; WAVE-EQUATION; GLOBAL EXISTENCE; PLATE; STABILIZATION; STABILITY; CONVEXITY;

D O I：

10.1016/j.amc.2012.02.053

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the von Karman 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. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：9085 / 9094

页数：10

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