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On L Solvability of BVPs for Elliptic Systems.
- Source :
- Journal of Fourier Analysis & Applications; Jun2013, Vol. 19 Issue 3, p478-494, 17p
- Publication Year :
- 2013
-
Abstract
- In this article we prove solvability results for L boundary value problems of some elliptic systems Lu=0 on the upper half-space ${\mathbb{R}} ^{n+1}_{+}, n\ge1$, with transversally independent coefficients. We use the first order formalism introduced by Auscher-Axelsson-McIntosh and further developed with a better understanding of the classes of solutions in the subsequent work of Auscher-Axelsson. The interesting fact is that we prove only half of the Rellich boundary inequality without knowing the other half. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10695869
- Volume :
- 19
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Journal of Fourier Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 87405732
- Full Text :
- https://doi.org/10.1007/s00041-013-9266-5