On convexity for energy decay rates of a viscoelastic equation with boundary feedback

被引：51
|
作者：
Messaoudi, Salim A. [1 ]
Mustafa, Muhammad I. [2 ]
机构：
[1] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia
[2] Prince Sultan Univ, Dept Math, Riyadh 11586, Saudi Arabia
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 72卷 / 9-10期
关键词：
General decay; Boundary damping; Relaxation function; Viscoelastic; Convexity; WAVE-EQUATION; GENERAL DECAY; ASYMPTOTIC-BEHAVIOR; DISSIPATIVE SYSTEMS; NONLINEAR SOURCE; MEMORY; EXISTENCE; STABILITY;
D O I：
10.1016/j.na.2009.12.040
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we consider a viscoelastic equation with a nonlinear feedback localized on a part of the boundary. 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) 2010 Elsevier Ltd. All rights reserved.
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页码：3602 / 3611
页数：10
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