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On a Free Boundary Problem Arising from Population Biology

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16 Citations (Scopus)

Abstract

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.
Original languageEnglish
Pages (from-to)51-67
JournalIndiana University Mathematics Journal
Volume52
Issue number1
DOIs
Publication statusPublished - 2003

Keywords

  • Mathematical Sciences

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