Existence and uniform decay for the Euler-Bernoulli viscoelastic equation with nonlocal boundary dissipation

被引：40

作者：

Cavalcanti, MM ^{[1
]}

机构：

[1] Univ Estadual Maringa, Dept Matemat, BR-87020900 Maringa, Parana, Brazil

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2002年 / 8卷 / 03期

关键词：

Euler-Bernoulli; memory; boundary feedback;

D O I：

10.3934/dcds.2002.8.675

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The linear Euler-Bernoulli viscoelastic equation u(tt) + Delta(2)u - integral(o)(t) g(t - tau)Delta(2)u(tau)dtau=0 in Omega x (0, infinity) subject to nonlinear boundary conditions is considered. We prove existence and uniform decay rates of the energy by assuming a nonlinear and nonlocal feedback acting on the boundary and provided that the kernel of the memory decays exponentially.

引用

页码：675 / 695

页数：21

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