Energy decay rates for solutions of the wave equation with boundary damping and source term

被引：14

作者：

Park, Jong Yeoul ^{[1
]}

Ha, Tae Gab ^{[1
]}

Kang, Yong Han ^{[2
]}

机构：

[1] Pusan Natl Univ, Dept Math, Pusan 609735, South Korea

[2] Univ Ulsan, Dept Math, Ulsan 680749, South Korea

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2010年 / 61卷 / 02期

关键词：

Wave equation; Boundary damping term; Source term; STABILIZATION; MEMORY;

D O I：

10.1007/s00033-009-0009-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the wave equation u '' - Delta u = |u|(rho) u with the following nonlinear boundary condition partial derivative u/partial derivative v + (t)integral(0) k(t - s, x)u' (s)ds + a(x)g(u') = 0. We show energy decay rates for solutions of the wave equation in bounded domain with nonlinear boundary damping and source term.

引用

页码：235 / 265

页数：31

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