Skip to Main Content

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.

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.

 

Unique continuation on the boundary for Dini domains
HTML articles powered by AMS MathViewer

by Igor Kukavica and Kaj Nyström PDF
Proc. Amer. Math. Soc. 126 (1998), 441-446 Request permission

Abstract:

We show that the normal derivative of a harmonic function which vanishes on an open subset of the boundary of a Dini domain cannot vanish on a subset of positive surface measure.
References
  • Frederick J. Almgren Jr., Dirichlet’s problem for multiple valued functions and the regularity of mass minimizing integral currents, Minimal submanifolds and geodesics (Proc. Japan-United States Sem., Tokyo, 1977) North-Holland, Amsterdam-New York, 1979, pp. 1–6. MR 574247
  • V. Adolfsson and L. Escauriaza, $C^{1,\alpha }$ domains and unique continuation at the boundary, 1996.
  • Vilhelm Adolfsson, Luis Escauriaza, and Carlos Kenig, Convex domains and unique continuation at the boundary, Rev. Mat. Iberoamericana 11 (1995), no. 3, 513–525. MR 1363203, DOI 10.4171/RMI/182
  • I. Kukavica, Level sets for the stationary Ginzburg-Landau equation, 1996, to appear in Calc. Var. PDE.
  • Fang-Hua Lin, Nodal sets of solutions of elliptic and parabolic equations, Comm. Pure Appl. Math. 44 (1991), no. 3, 287–308. MR 1090434, DOI 10.1002/cpa.3160440303
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 31B05
  • Retrieve articles in all journals with MSC (1991): 31B05
Additional Information
  • Igor Kukavica
  • Affiliation: Department of Mathematics, The University of Chicago, Chicago, Illinois 60637
  • Address at time of publication: Department of Mathematics, University of Southern California, Los Angeles, California 90089
  • MR Author ID: 314775
  • Email: kukavica@cs.uchicago.edu
  • Kaj Nyström
  • Affiliation: Department of Mathematics, The University of Chicago, Chicago, Illinois 60637
  • Email: kaj@math.uchicago.edu
  • Received by editor(s): May 13, 1996
  • Received by editor(s) in revised form: July 30, 1996
  • Communicated by: Christopher D. Sogge
  • © Copyright 1998 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 126 (1998), 441-446
  • MSC (1991): Primary 31B05
  • DOI: https://doi.org/10.1090/S0002-9939-98-04065-9
  • MathSciNet review: 1415331