Extension of some Lions-Magenes theorems
Analysis of PDEs
2009-07-19 v1 Functional Analysis
Abstract
A general form of the Lions-Magenes theorems on solvability of an elliptic boundary-value problem in the spaces of nonregular distributions is proved. We find a general condition on the space of right-hand sides of the elliptic equation under which the operator of the problem is bounded and has a finite index on the corresponding couple of Hilbert spaces. Extensive classes of the spaces satisfying this condition are constructed. They contain the spaces used by Lions and Magenes.
Keywords
Cite
@article{arxiv.0903.5421,
title = {Extension of some Lions-Magenes theorems},
author = {Aleksandr A. Murach},
journal= {arXiv preprint arXiv:0903.5421},
year = {2009}
}
Comments
19 pages