A survey on boundary conditions for the biharmonic

作者：Sweers Guido^*

来源：Complex Variables and Elliptic Equations, 2009, 54(2): 79-93.

DOI：10.1080/17476930802657640

• biharmonic
• boundary conditions

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.

• 出版日期2009