Regularity of the Minimizer for the D-Wave Ginzburg-Landau Energy
Lin, Tai-Chia ; Wang, Lihe
Methods Appl. Anal., Tome 10 (2003) no. 3, p. 081-096 / Harvested from Project Euclid
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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.
Publié le : 2003-03-14
Classification:  
@article{1118943103,
     author = {Lin, Tai-Chia and Wang, Lihe},
     title = {Regularity of the Minimizer for the D-Wave Ginzburg-Landau
Energy},
     journal = {Methods Appl. Anal.},
     volume = {10},
     number = {3},
     year = {2003},
     pages = { 081-096},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1118943103}
}

Lin, Tai-Chia; Wang, Lihe. Regularity of the Minimizer for the D-Wave Ginzburg-Landau
Energy. Methods Appl. Anal., Tome 10 (2003) no. 3, pp.  081-096. http://gdmltest.u-ga.fr/item/1118943103/