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On Domain Decomposition for Elliptic Systems.
- Source :
- Journal of Dynamics & Differential Equations; Dec2015, Vol. 27 Issue 3/4, p803-822, 20p
- Publication Year :
- 2015
-
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 $$\Gamma $$ 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 $$\Gamma $$ . 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10407294
- Volume :
- 27
- Issue :
- 3/4
- Database :
- Complementary Index
- Journal :
- Journal of Dynamics & Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 111728056
- Full Text :
- https://doi.org/10.1007/s10884-014-9392-z