Existence and boundary stabilization of solutions for the Kirchhoff equation

被引：39
|
作者：
Miranda, MM [1 ]
Jutuca, LPS
机构：
[1] UFRJ, Inst Matemat, Rio De Janeiro, Brazil
[2] UniRio, Dept Matemat & Estatist, Rio De Janeiro, Brazil
来源：
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 1999年 / 24卷 / 9-10期
关键词：
Galerkin method; Kirchhoff equation; boundary stability;
D O I：
10.1080/03605309908821482
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the existence of local and global solutions of an initial-homogeneous boundary value problem for the Kirchhoff equation u" - M (t,integral(Omega)/del u/(2)dx) Delta u = 0, where M(t,lambda) greater than or equal to m(0) > 0 and Omega is an open bounded set of R-n. The boundary stability is also obtained. The fixed point method, Galerkin approximations and energy functionals are used in the approach.
引用
收藏
页码：1759 / 1800
页数：42
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