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2013 / September Volume 8 No.3
Higher Order Analogues of Exterior Derivative
Published Date
2013 / September
Title
Higher Order Analogues of Exterior Derivative
Author
Loredana Lanzani
Keyword
Div-curl, L1-duality, exterior derivative, sobolev inequality, elliptic operator, Div-curl, L1-duality, exterior derivative, sobolev inequality, elliptic operator
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Pagination
389-398
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.
AMS Subject
Classification
47F05, 31B35, 35J30, 35E99
Received
2013-04-16
Accepted
2013-04-17
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