Skip to Main Content

Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48 .

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

The regularity and Neumann problem for non-symmetric elliptic operators
HTML articles powered by AMS MathViewer

by Carlos E. Kenig and David J. Rule PDF
Trans. Amer. Math. Soc. 361 (2009), 125-160 Request permission

Abstract:

We establish optimal $L^p$ bounds for the non-tangential maximal function of the gradient of the solution to a second-order elliptic operator in divergence form, possibly non-symmetric, with bounded measurable coefficients independent of the vertical variable, on the domain above a Lipschitz graph in the plane, in terms of the $L^p$-norm at the boundary of the tangential derivative of the Dirichlet data, or of the Neumann data.
References
Similar Articles
  • Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 35J25, 31A25
  • Retrieve articles in all journals with MSC (2000): 35J25, 31A25
Additional Information
  • Carlos E. Kenig
  • Affiliation: Department of Mathematics, University of Chicago, 5734 S. University Avenue, Chicago, Illinois 60637
  • MR Author ID: 100230
  • Email: cek@math.uchicago.edu
  • David J. Rule
  • Affiliation: Department of Mathematics, University of Chicago, 5734 S. University Avenue, Chicago, Illinois 60637
  • Address at time of publication: School of Mathematics, The University of Edinburgh, James Clerk Maxwell Building, The King’s Buildings, Mayfield Road, Edinburgh, EH9 3JZ, United Kingdom
  • Email: rule@uchicago.edu
  • Received by editor(s): October 24, 2006
  • Published electronically: August 13, 2008
  • Additional Notes: The first author was supported in part by NSF grant number DMS-0456583
  • © Copyright 2008 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Trans. Amer. Math. Soc. 361 (2009), 125-160
  • MSC (2000): Primary 35J25; Secondary 31A25
  • DOI: https://doi.org/10.1090/S0002-9947-08-04610-2
  • MathSciNet review: 2439401