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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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A uniqueness theorem for a free boundary problem
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by E. N. Dancer and Yihong Du PDF
Proc. Amer. Math. Soc. 134 (2006), 3223-3230 Request permission

Abstract:

In this paper, we prove a uniqueness theorem for a free boundary problem which is given in the form of a variational inequality. This free boundary problem arises as the limit of an equation that serves as a basic model in population biology. Apart from the interest in the problem itself, the techniques used in this paper, which are based on the regularity theory of variational inequalities and of harmonic functions, are of independent interest, and may have other applications.
References
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Additional Information
  • E. N. Dancer
  • Affiliation: School of Mathematics and Statistics, University of Sydney, NSW 2006, Australia
  • Email: normd@maths.usyd.edu.au
  • Yihong Du
  • Affiliation: School of Mathematics, Statistics and Computer Science, University of New England, Armidale, NSW 2351, Australia
  • Email: ydu@turing.une.edu.au
  • Received by editor(s): April 30, 2003
  • Received by editor(s) in revised form: May 15, 2005
  • Published electronically: May 11, 2006
  • Communicated by: David S. Tartakoff
  • © Copyright 2006 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 134 (2006), 3223-3230
  • MSC (2000): Primary 35J25, 35J85, 49J40
  • DOI: https://doi.org/10.1090/S0002-9939-06-08409-7
  • MathSciNet review: 2231905