Asymptotic Behavior of Minima and Mountain Pass Solutions for a Class of Allen-Cahn Models

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In an earlier paper, the authors studied a class of Allen-Cahn models for which the solution was near 1 on a prescribed set, T+[0,1]n where TZn, and near 0 on its complement. In this note, when T is finite and consists of two widely spaced subsets, T1 and l+T2 with lZn, we study the asymptotic behavior of two special families of solutions as l.
Publisher
International Press
Issue Date
2013
Language
English
Citation

Communications in Information and Systems, v.13, no.1, pp.79 - 95

ISSN
1526-7555
DOI
10.4310/CIS.2013.v13.n1.a3
URI
http://hdl.handle.net/10203/189387
Appears in Collection
MA-Journal Papers(저널논문)
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