Skip to Main content Skip to Navigation
Journal articles

Some remarks on the linearized operator about the radial solution for the Ginzburg-Landau equation

Abstract : We consider the linearized operators, denoted L-d,L-1, of the Ginzburg-Landau operator Deltau + u(1 - \u\(2)) in R-2, about the radial solutions U-d,U-1(X) = f(d)(r)e(idtheta), for all d greater than or equal to 1. We state the correspondence between the real vector space of the bounded solutions of the equation L(d,1)w=0 and the eigenvalues of the linearized operators of the equations Deltau + 1/epsilon(2)u(1 - \u\(2)) = 0, in W B(0, 1), about the radial solutions u(d,epsilon)(x) = f(d)(r/epsilon)e(idtheta), that tend to 0 as epsilon tends to 0. (C) 2003 Published by Elsevier Ltd.
Document type :
Journal articles
Complete list of metadatas

https://hal-upec-upem.archives-ouvertes.fr/hal-00693139
Contributor : Admin Lama <>
Submitted on : Tuesday, May 1, 2012 - 9:44:48 PM
Last modification on : Thursday, March 19, 2020 - 12:26:02 PM

Identifiers

Citation

Anne Beaulieu. Some remarks on the linearized operator about the radial solution for the Ginzburg-Landau equation. Nonlinear Analysis: Theory, Methods and Applications, Elsevier, 2003, 54 (6), pp.1079--1119. ⟨10.1016/S0362-546X(03)00128-7⟩. ⟨hal-00693139⟩

Share

Metrics

Record views

512