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https://hdl.handle.net/1959.11/3538| Title: | A uniqueness theorem for a free boundary problem | Contributor(s): | Dancer, Edward Norman (author); Du, Yihong (author) |
Publication Date: | 2006 | Handle Link: | https://hdl.handle.net/1959.11/3538 | 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. | Publication Type: | Journal Article | Source of Publication: | Proceedings of the American Mathematical Society, 134(11), p. 3223-3230 | Publisher: | American Mathematical Society | Place of Publication: | United States of America | ISSN: | 1088-6826 0002-9939 |
Fields of Research (FoR) 2008: | 010109 Ordinary Differential Equations, Difference Equations and Dynamical Systems | Socio-Economic Objective (SEO) 2008: | 970101 Expanding Knowledge in the Mathematical Sciences | Peer Reviewed: | Yes | HERDC Category Description: | C1 Refereed Article in a Scholarly Journal | Publisher/associated links: | http://www.jstor.org/stable/2372011 |
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| Appears in Collections: | Journal Article |
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