Boundary value problems for asymptotically homogeneous elliptic second order operators |
| |
| Authors: | Murray Cantor |
| |
| Institution: | 1. Department of Mathematics, University of Texas, Austin, Texas 78712 USA;2. The Institute for Advanced Study, Princeton, New Jersey 08540 USA |
| |
| Abstract: | In this paper we show the Dirichlet and Neumann problems over exterior regions have unique solutions in certain weighted Sobolev spaces. Two applications are given: (1) The Dirichlet problem for semi-linear operators, and (2) a Helmholtz decomposition for vector fields on exterior regions. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
