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On a singular perturbation problem involving a ``circular-well'' potential
Author(s):
Nelly
André;
Itai
Shafrir
Journal:
Trans. Amer. Math. Soc.
359
(2007),
4729-4756.
MSC (2000):
Primary 35J20;
Secondary 35B25, 35J60, 58E50
Posted:
May 1, 2007
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Abstract:
We study the asymptotic behavior, as a small parameter  goes to 0, of the minimizers for a variational problem which involves a ``circular-well'' potential, i.e., a potential vanishing on a closed smooth curve in  . We thus generalize previous results obtained for the special case of the Ginzburg-Landau potential.
References:
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Additional Information:
Nelly
André
Affiliation:
Département de Mathématiques, Université de Tours, 37200 Tours, France
Itai
Shafrir
Affiliation:
Department of Mathematics, Technion -- Israel Institute of Technology, 32000 Haifa, Israel
DOI:
10.1090/S0002-9947-07-04344-9
PII:
S 0002-9947(07)04344-9
Keywords:
Singular perturbation,
circular-well potential,
Ginzburg-Landau energy
Received by editor(s):
April 5, 2005
Posted:
May 1, 2007
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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