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

Fabrice Bethuel;  Giandomenico Orlandi;  Didier Smets — 2005

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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.

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