Document Type
Working Paper
Date
2008
Keywords
Analysis of PDEs, Classical Analysis and ODEs
Language
English
Disciplines
Mathematics
Description/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.
Recommended Citation
Gustafson, Derek, "Elliptic Complexes and Generalized Poincaré Inequalities" (2008). Mathematics - All Scholarship. 2.
https://surface.syr.edu/mat/2
Source
Metadata from ArXiv.org
Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.
Additional Information
8 pages, 0 figures submitted to Proceedings of the American Mathematical Society. Problem with bibliography corrected