A survey on boundary conditions for the biharmonic

被引：46

作者：

Sweers, Guido ^{[1
,2
]}

机构：

[1] Univ Cologne, Inst Math, D-5000 Cologne, Germany

[2] Delft Univ Technol, DIAM, NL-2600 AA Delft, Netherlands

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2009年 / 54卷 / 02期

关键词：

biharmonic; boundary conditions; POLYGON-CIRCLE PARADOX; PLATE;

D O I：

10.1080/17476930802657640

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For second-order elliptic equations one usually extensively studies the case of Dirichlet boundary conditions and other boundary conditions are left to the reader. For the biharmonic equation Delta(2)u=f on a bounded domain in R-n it is not that obvious which boundary condition would serve as a role model. Usually a good approach is to focus on some boundary conditions which describe physically relevant situations. We will discuss boundary conditions for a slender beam and for the thin elastic plate.

引用

页码：79 / 93

页数：15