Publications

Authors:

F., Bethuel; Orlandi, Giandomenico

Title:

Uniform estimates for the parabolic Ginzburg-Landau equation. A tribute to J. L. Lions.

Year:

2002

Type of item:

Articolo in Rivista

Tipologia ANVUR:

Articolo su rivista

Language:

Inglese

Format:

A Stampa

Referee:

Sì

Name of journal:

ESAIM: Control, Optimization and Calculus of Variations

ISSN of journal:

1292-8119

N° Volume:

8

:

Edpsciences

Page numbers:

219-238

Keyword:

Ginzburg-Landau; parabolic equations; Hodge decomposition; Jacobians

Short description of contents:

We consider complex-valued solutions ue of the Ginzburg-Landau equation on a smooth bounded simply connected domain W of RN, N ³ 2, where e > 0 is a small parameter. We assume that the Ginzburg-Landau energy Ee(ue) verifies the bound (natural in the context) Ee(ue) M|log e|, where M0 is some given constant. We also make several assumptions on the boundary data. An important step in the asymptotic analysis of ue, as e® 0, is to establish uniform Lp bounds for the gradient, for some p > 1. We review some recent techniques developed in the elliptic case in [7], discuss some variants, and extend the methods to the associated parabolic equation

Web page:

http://cvgmt.sns.it/papers/betorl02/

Product ID:

16317

Handle IRIS:

11562/16317

Deposited On:

December 3, 2007

Last Modified:

November 14, 2022

Bibliographic citation:

F., Bethuel; Orlandi, Giandomenico, Uniform estimates for the parabolic Ginzburg-Landau equation. A tribute to J. L. Lions. «ESAIM: Control, Optimization and Calculus of Variations» , vol. 8 , 2002 , pp. 219-238

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