A uniqueness theorem for a free boundary problem

Title
A uniqueness theorem for a free boundary problem
Publication Date
2006
Author(s)
Dancer, Edward Norman
Du, Yihong
( author )
OrcID: https://orcid.org/0000-0002-1235-0636
Email: ydu@une.edu.au
UNE Id une-id:ydu
Type of document
Journal Article
Language
en
Entity Type
Publication
Publisher
American Mathematical Society
Place of publication
United States of America
UNE publication id
une:3627
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.
Link
link
Citation
Proceedings of the American Mathematical Society, 134(11), p. 3223-3230
ISSN
1088-6826
0002-9939
Start page
3223
End page
3230

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