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research article
Optimal transport of closed differential forms for convex costs
Let c : A(k-1) -> R+ be convex and Omega subset of R-n be a bounded domain. Let f(0) and f(1) be two closed k-forms on Omega satisfying appropriate boundary conditions. We discuss the minimization of integral(Omega) c (A) dx over a subset of (k - 1)-forms A on Omega such that dA + f(1) - f(0) = 0, and its connection with a transport of symplectic forms. Section 3 mainly serves as a step toward Section 4, which is richer, as it connects to variational problems with multiple minimizers. (C) 2015 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
Type
research article
Web of Science ID
WOS:000366617600007
Authors
Publication date
2015
Published in
Volume
353
Issue
12
Start page
1099
End page
1104
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
February 16, 2016
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