A uniqueness theorem for a free boundary problem

Edward Norman Dancer; Yihong Du

A uniqueness theorem for a free boundary problem

Edward Norman Dancer
, Yihong Du

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

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.

Original language	English
Pages (from-to)	3223-3230
Journal	Proceedings of the American Mathematical Society
Volume	134
Issue number	11
Publication status	Published - 2006

Keywords

Ordinary Differential Equations, Difference Equations and Dynamical Systems

Access to Document

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

Handle.net

Persistent link

Cite this

@article{3489921582a8487bb62bfbc530c9f2ad,

title = "A uniqueness theorem for a free boundary problem",

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.",

keywords = "Ordinary Differential Equations, Difference Equations and Dynamical Systems",

author = "Dancer, \{Edward Norman\} and Yihong Du",

year = "2006",

language = "English",

volume = "134",

pages = "3223--3230",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "11",

}

TY - JOUR

T1 - A uniqueness theorem for a free boundary problem

AU - Dancer, Edward Norman

AU - Du, Yihong

PY - 2006

Y1 - 2006

N2 - 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.

AB - 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.

KW - Ordinary Differential Equations, Difference Equations and Dynamical Systems

UR - http://www.jstor.org/stable/2372011

M3 - Article

SN - 0002-9939

VL - 134

SP - 3223

EP - 3230

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 11

ER -

A uniqueness theorem for a free boundary problem

Abstract

Keywords

Access to Document

Handle.net

Fingerprint

Cite this