Improved estimates for the Ginzburg-Landau equation : the elliptic case

Fabrice Bethuel[1]; Giandomenico Orlandi[2]; Didier Smets[3]

  • [1] Laboratoire Jacques-Louis Lions Université de Paris 6 4 place Jussieu BC 187 75252 Paris, France
  • [2] Dipartimento di Informatica Università di Verona strada le Grazie 37134 Verona, Italy
  • [3] Centro di Ricerca Matematica Ennio De Giorgi Scuola Normale Superiore di Pisa Piazza dei Cavalieri 3 56100 Pisa, Italy

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (2005)

  • Volume: 4, Issue: 2, page 319-355
  • ISSN: 0391-173X

Abstract

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We derive estimates for various quantities which are of interest in the analysis of the Ginzburg-Landau equation, and which we bound in terms of the G L -energy E ε and the parameter ε . These estimates are local in nature, and in particular independent of any boundary condition. Most of them improve and extend earlier results on the subject.

How to cite

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Bethuel, Fabrice, Orlandi, Giandomenico, and Smets, Didier. "Improved estimates for the Ginzburg-Landau equation : the elliptic case." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 4.2 (2005): 319-355. <http://eudml.org/doc/84562>.

@article{Bethuel2005,
abstract = {We derive estimates for various quantities which are of interest in the analysis of the Ginzburg-Landau equation, and which we bound in terms of the $GL$-energy $E_\varepsilon $ and the parameter $\varepsilon $. These estimates are local in nature, and in particular independent of any boundary condition. Most of them improve and extend earlier results on the subject.},
affiliation = {Laboratoire Jacques-Louis Lions Université de Paris 6 4 place Jussieu BC 187 75252 Paris, France; Dipartimento di Informatica Università di Verona strada le Grazie 37134 Verona, Italy; Centro di Ricerca Matematica Ennio De Giorgi Scuola Normale Superiore di Pisa Piazza dei Cavalieri 3 56100 Pisa, Italy},
author = {Bethuel, Fabrice, Orlandi, Giandomenico, Smets, Didier},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
language = {eng},
number = {2},
pages = {319-355},
publisher = {Scuola Normale Superiore, Pisa},
title = {Improved estimates for the Ginzburg-Landau equation : the elliptic case},
url = {http://eudml.org/doc/84562},
volume = {4},
year = {2005},
}

TY - JOUR
AU - Bethuel, Fabrice
AU - Orlandi, Giandomenico
AU - Smets, Didier
TI - Improved estimates for the Ginzburg-Landau equation : the elliptic case
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 2005
PB - Scuola Normale Superiore, Pisa
VL - 4
IS - 2
SP - 319
EP - 355
AB - We derive estimates for various quantities which are of interest in the analysis of the Ginzburg-Landau equation, and which we bound in terms of the $GL$-energy $E_\varepsilon $ and the parameter $\varepsilon $. These estimates are local in nature, and in particular independent of any boundary condition. Most of them improve and extend earlier results on the subject.
LA - eng
UR - http://eudml.org/doc/84562
ER -

References

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