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Journal of the American Mathematical Society

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

ISSN 1088-6834 (online) ISSN 0894-0347 (print)

The 2020 MCQ for Journal of the American Mathematical Society is 4.79.

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Regularity theory for parabolic nonlinear integral operators
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by Luis Caffarelli, Chi Hin Chan and Alexis Vasseur PDF
J. Amer. Math. Soc. 24 (2011), 849-869 Request permission

Abstract:

This article is dedicated to the regularity theory for solutions to a class of nonlinear integral variational problems. Those problems are involved in nonlocal image and signal processing.
References
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Additional Information
  • Luis Caffarelli
  • Affiliation: Department of Mathematics, University of Texas at Austin, 1 University Station, C1200, Austin, Texas 78712
  • MR Author ID: 44175
  • Chi Hin Chan
  • Affiliation: Institute for Mathematics and Its Applications, University of Minnesota, 207 Church Street SE, Minneapolis, MN 55455-0134
  • Alexis Vasseur
  • Affiliation: Mathematical Institute, University of Oxford, 24-29 St Giles, Oxford, OX1 3LB England
  • MR Author ID: 642986
  • Received by editor(s): March 8, 2010
  • Received by editor(s) in revised form: August 2, 2010, October 26, 2010, and December 17, 2010
  • Published electronically: March 24, 2011
  • Additional Notes: The first author was partially supported by the NSF
    The third author was partially supported by both the NSF and the EPSRC Science and Innovation award to the Oxford Centre for Nonlinear PDE (EP/E035027/1)
  • © Copyright 2011 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: J. Amer. Math. Soc. 24 (2011), 849-869
  • MSC (2010): Primary 35B65, 45G05, 47G10
  • DOI: https://doi.org/10.1090/S0894-0347-2011-00698-X
  • MathSciNet review: 2784330