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

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

2009-10-11

arxiv.org/abs/0910.2012v1

Mathematics

Analysis of PDEs

7 pages, 0 figures. Major correction of arXiv:0809.1692v2. Submitted to Proceedings of the American Mathematical Society

Scientific paper

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.

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