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March 2003 Regularity of the Minimizer for the D-Wave Ginzburg-Landau Energy
Tai-Chia Lin, Lihe Wang
Methods Appl. Anal. 10(1): 081-096 (March 2003).

Abstract

We study the minimizer of the d-wave Ginzburg-Landau energy in a specific class of functions. We show that the minimizer having distinct degree-one vortices is Holder continuous. Away from vortex cores, the minimizer converges uniformly to a canonical harmonic map. For a single vortex in the vortex core, we obtain the C1/2-norm estimate of the fourfold symmetric vortex solution. Furthermore, we prove the convergence of the fourfold symmetric vortex solution under different scales of DELTA.

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Tai-Chia Lin. Lihe Wang. "Regularity of the Minimizer for the D-Wave Ginzburg-Landau Energy." Methods Appl. Anal. 10 (1) 081 - 096, March 2003.

Information

Published: March 2003
First available in Project Euclid: 16 June 2005

zbMATH: 1129.35333
MathSciNet: MR2014163

Rights: Copyright © 2003 International Press of Boston

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Vol.10 • No. 1 • March 2003
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