Existence and uniform decay of the wave equation with nonlinear boundary damping and boundary memory source term

被引：94

作者：

Aassila, M

Cavalcanti, MM

Cavalcanti, VND

机构：

[1] Inst Rech Math Avancee, F-67084 Strasbourg, France

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

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2002年 / 15卷 / 02期

关键词：

D O I：

10.1007/s005260100096

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the nonlinear model of the wave equation y(tt) - Deltay + f(0) (dely) = 0 subject to the following nonlinear boundary conditions partial derivativey/partial derivativenu + g(y(t)) = F-o(t) h(t - tau)f1(y(tau)) dtau. We show existence of solutions by means of Faedo-Galerkin method and the uniform decay is obtained by using the multiplier technique.

引用

页码：155 / 180

页数：26

共 17 条

[1] Asymptotic stability and energy decay rates for solutions of the wave equation with memory in a star-shaped domain [J].