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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles 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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A remark on the regularity of the div-curl system
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by Irina Mitrea and Marius Mitrea PDF
Proc. Amer. Math. Soc. 137 (2009), 1729-1733 Request permission

Abstract:

As a limiting case of the classical Calderón-Zygmund theory, in this note we study the Besov regularity of differential forms $u$ for which $du$ and $\delta u$ have absolutely integrable coefficients in ${\mathbb R}^n$.
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Additional Information
  • Irina Mitrea
  • Affiliation: Department of Mathematics, University of Virginia, Charlottesville, Virginia 22904
  • MR Author ID: 634131
  • Email: im3p@virginia.edu
  • Marius Mitrea
  • Affiliation: Department of Mathematics, University of Missouri, Columbia, Missouri 65211
  • MR Author ID: 341602
  • ORCID: 0000-0002-5195-5953
  • Email: marius@math.missouri.edu
  • Received by editor(s): June 3, 2008
  • Published electronically: November 4, 2008
  • Additional Notes: The first author was partially supported by NSF grant DMS-0547944
    The second author was partially supported by NSF grants DMS-90400639 and DMS-FRG-0456306
  • Communicated by: Michael T. Lacey
  • © Copyright 2008 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 137 (2009), 1729-1733
  • MSC (2000): Primary 35B65, 58A10; Secondary 35F05, 42B20
  • DOI: https://doi.org/10.1090/S0002-9939-08-09671-8
  • MathSciNet review: 2470831