A Generalized Poincare Inequality for a Class of Constant Coefficient Differential Operators
Analysis of PDEs
2009-10-13 v1
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.0910.2012,
title = {A Generalized Poincare Inequality for a Class of Constant Coefficient Differential Operators},
author = {Derek Gustafson},
journal= {arXiv preprint arXiv:0910.2012},
year = {2009}
}
Comments
7 pages, 0 figures. Major correction of arXiv:0809.1692v2. Submitted to Proceedings of the American Mathematical Society