Elliptic Complexes and Generalized Poincaré Inequalities

نویسنده

  • Derek Gustafson
چکیده

We study first order differential operators P = P(D) with constant coefficients. The main question is under what conditions a generalized Poincaré inequality holds D(f − f 0) L p ≤ C Pf L p , for some f 0 ∈ ker P. We show that the constant rank condition is sufficient, Theorem 3.5. The concept of the Moore-Penrose generalized inverse of a matrix comes into play.

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تاریخ انتشار 2008