Dancer, Edward Norman; Du, Yihong

Author(s)

Dancer, Edward Norman

Du, Yihong

Publication Date

2006

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.

Citation

Proceedings of the American Mathematical Society, 134(11), p. 3223-3230

ISSN

1088-6826

0002-9939

Link

https://hdl.handle.net/1959.11/3538

Publisher

American Mathematical Society

Title

A uniqueness theorem for a free boundary problem

Type of document

Journal Article

Entity Type

Publication

Author(s)	Dancer, Edward Norman Du, Yihong
Publication Date	2006
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.
Citation	Proceedings of the American Mathematical Society, 134(11), p. 3223-3230
ISSN	1088-6826 0002-9939
Link	https://hdl.handle.net/1959.11/3538
Publisher	American Mathematical Society
Title	A uniqueness theorem for a free boundary problem
Type of document	Journal Article
Entity Type	Publication

A uniqueness theorem for a free boundary problem

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