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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The polar cone of the set of monotone maps
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by Fabio Cavalletti and Michael Westdickenberg PDF
Proc. Amer. Math. Soc. 143 (2015), 781-787 Request permission

Abstract:

We prove that every element of the polar cone to the closed convex cone of monotone transport maps can be represented as the divergence of a measure field taking values in the positive definite matrices.
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Additional Information
  • Fabio Cavalletti
  • Affiliation: Lehrstuhl für Mathematik (Analysis), RWTH Aachen University, Templergraben 55, D-52062 Aachen, Germany
  • MR Author ID: 956139
  • Email: cavalletti@instmath.rwth-aachen.de
  • Michael Westdickenberg
  • Affiliation: Lehrstuhl für Mathematik (Analysis), RWTH Aachen University, Templergraben 55, D-52062 Aachen, Germany
  • MR Author ID: 654309
  • Email: mwest@instmath.rwth-aachen.de
  • Received by editor(s): May 10, 2013
  • Received by editor(s) in revised form: June 3, 2013
  • Published electronically: October 15, 2014
  • Communicated by: Walter Craig
  • © Copyright 2014 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 143 (2015), 781-787
  • MSC (2010): Primary 49Q20
  • DOI: https://doi.org/10.1090/S0002-9939-2014-12332-X
  • MathSciNet review: 3283664