Higher Order Analogues of Exterior Derivative
by Loredana Lanzani  

Vol. 8 No. 3 (2013) P.389~P.398

ABSTRACT

We give new examples of linear differential operators of order $k=2m+1$ (any given odd integer) that are invariant under the isometries of $\mathbb R^n$ and satisfy so-called $L^1$-duality estimates and div/curl inequalities.

KEYWORDS
Div-curl, L1-duality, exterior derivative, sobolev inequality, elliptic operator,

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 47F05, 31B35, 35J30, 35E99

MILESTONES

Received: 2013-02-06
Revised : 2013-04-16
Accepted: 2013-04-17

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