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arXiv · 0910.2012

A Generalized Poincare Inequality for a Class of Constant Coefficient Differential Operators

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. 2009-10-11. A Generalized Poincare Inequality for a Class of Constant Coefficient Differential Operators. https://arxiv.org/abs/0910.2012

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