Abstract
We consider a region unbounded in at least one direction on which is defined an abstract elliptic system subject to non-homogeneous Neumann data on part (Formula presented.) of the surface that is otherwise free. We show that a quadratic form, analogous to the Dirichlet integral, becomes increasingly small on sub-regions increasingly remote from (Formula presented.). The technique is illustrated by various specific linear and nonlinear examples, including the p-Laplacian, for some of which the method must be slightly modified.
Original language | English |
---|---|
Pages (from-to) | 803-822 |
Number of pages | 20 |
Journal | Journal of Dynamics and Differential Equations |
Volume | 27 |
Issue number | 3 |
Early online date | 26 Aug 2014 |
DOIs | |
Publication status | Published - Dec 2015 |
Keywords
- Domain decomposition
- Edge effects
- Elliptic systems
- Saint-Venant's principle
ASJC Scopus subject areas
- Analysis