Dirichlet problems on varying domains |
| |
Authors: | Daniel Daners |
| |
Institution: | School of Mathematics and Statistics F07, The University of Sydney, NSW 2006, Australia |
| |
Abstract: | The aim of the paper is to characterise sequences of domains for which solutions to an elliptic equation with Dirichlet boundary conditions converge to a solution of the corresponding problem on a limit domain. Necessary and sufficient conditions are discussed for strong and uniform convergence for the corresponding resolvent operators. Examples are given to illustrate that most results are optimal. |
| |
Keywords: | 35B20 35B25 35J25 |
本文献已被 ScienceDirect 等数据库收录! |
|