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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Asymptotic limit for condensate solutions in the Abelian Chern-Simons Higgs model II


Author: Jongmin Han
Journal: Proc. Amer. Math. Soc. 131 (2003), 3827-3832
MSC (2000): Primary 35B40, 81T13
Published electronically: April 24, 2003
MathSciNet review: 1999930
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Abstract: In this paper we show that the maximal condensate solutions $(\phi^\epsilon, A^\epsilon)$in the Abelian Chern-Simons Higgs model converge to $(\phi_*,A_*)$ in higher norms, where $\phi_*$ is a harmonic map.


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Additional Information

Jongmin Han
Affiliation: Department of Mathematics, Hankuk University of Foreign Studies, 89 Wangsan-ri Mohyun, Yongin, Kyounggi-do 449-791, Korea
Email: jmhan@hufs.ac.kr

DOI: http://dx.doi.org/10.1090/S0002-9939-03-07020-5
PII: S 0002-9939(03)07020-5
Keywords: Chern-Simons-Higgs model, self-duality equations, maximal solutions
Received by editor(s): July 24, 2002
Published electronically: April 24, 2003
Additional Notes: This research was supported by the research fund of Hankuk University of Foreign Studies, 2002
Communicated by: David S. Tartakoff
Article copyright: © Copyright 2003 American Mathematical Society