ASYMPTOTIC BEHAVIOR OF THE EIGENVALUES OF THE LINEARIZED GINZBURG-LANDAU OPERATOR

TitleASYMPTOTIC BEHAVIOR OF THE EIGENVALUES OF THE LINEARIZED GINZBURG-LANDAU OPERATOR
Publication TypeJournal Article
Year of Publication2005
AuthorsBeaulieu, A
Secondary TitleCommunications in Applied Analysis
Volume9
Issue1
Start Page1
Pagination14
Date Published01/2005
Type of Workscientific: mathematics
ISSN1083-2564
AMS35B40
Abstract

We consider the linearized operators, denoted by Ld,1, of the GinzburgLandau operator ∆u + u(1− | u |2) in R2 , about the radial solutions ud,1(x) = fd(r)e idθ. We prove that for all d ≥ 1 the real vector space of the bounded solutions of the equation Ld,1w = 0 is spanned by the three functions that correspond to the invariance of the equation ∆u + u(1− | u | 2 ) = 0 under the action of the rotations and the translations.
URLhttp://www.acadsol.eu/en/articles/9/1/1.pdf
Short TitleAsymptotic Behavior of the Eigenvalues
Refereed DesignationRefereed
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