Elliptic complexes and generalized Poincar\'e inequalities
Analysis of PDEs
2008-09-15 v2 Classical Analysis and ODEs
Abstract
We study first order differential operators with constant coefficients. The main question is under what conditions a generalized Poincar\'e inequality holds. We show that the constant rank condition is sufficient. The concept of the Moore-Penrose generalized inverse of a matrix comes into play.
Keywords
Cite
@article{arxiv.0809.1692,
title = {Elliptic complexes and generalized Poincar\'e inequalities},
author = {Derek Gustafson},
journal= {arXiv preprint arXiv:0809.1692},
year = {2008}
}
Comments
8 pages, 0 figures submitted to Proceedings of the American Mathematical Society. Problem with bibliography corrected