Elliptic complexes and generalized Poincaré inequalities

Details Elliptic complexes and generalized Poincaré inequalities Elliptic complexes and generalized Poincaré inequalities

2008-09-10

arxiv.org/abs/0809.1692v2

Mathematics

Analysis of PDEs

8 pages, 0 figures submitted to Proceedings of the American Mathematical Society. Problem with bibliography corrected

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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