On the asymptotic behaviour of the solution of elliptic problems in cylindrical domains becoming unbounded

被引：28

作者：

Chipot, M ^{[1
]}

Rougirel, A ^{[1
]}

机构：

[1] Univ Zurich, Inst Math, CH-8057 Zurich, Switzerland

来源：

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2002年 / 4卷 / 01期

关键词：

D O I：

10.1142/S0219199702000555

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the asymptotic behavior of the solution of linear and nonlinear elliptic problems in cylindrical domains becoming unbounded in one or several directions. In particular we show that this solution converges in H-1 norm toward the solution of problems set on the cross section of the domains.

引用

页码：15 / 44

页数：30