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arXiv · 0809.1692

Elliptic complexes and generalized Poincaré inequalities

Derek Gustafson
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Abstract

We study first order differential operators with constant coefficients. The main question is under what conditions a generalized Poincaré 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.

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Derek Gustafson. 2008-09-15. Elliptic complexes and generalized Poincaré inequalities. https://arxiv.org/abs/0809.1692

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