On a free boundary problem arising from population biology

被引：17
|
作者：
Dancer, EN [1 ]
Du, YH
机构：
[1] Univ Sydney, Sch Math & Stat, Sydney, NSW 2006, Australia
[2] Univ Cambridge, Newton Inst, Cambridge, England
[3] Univ New England, Sch Math & Comp Sci, Armidale, NSW 2351, Australia
来源：
INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2003年 / 52卷 / 01期
关键词：
free boundary problem; variational inequality; elliptic equation;
D O I：
10.1512/iumj.2003.52.2196
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, using variational inequality techniques, we completely solve the existence and uniqueness question for a free boundary problem arising from the studies of certain population models. We also confirm a conjecture of ours in an earlier paper that this free boundary problem is the correct limiting problem of a degenerate predator-prey model.
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页码：51 / 67
页数：17
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