Spectrum of the linearized operator for the Ginzburg-Landau equation

We study the spectrum of the linearized operator for the Ginzburg-Landau equation about a symmetric vortex solution with degree one. We show that the smallest eigenvalue of the linearized operator has multiplicity two, and then we describe its behavior as a small parameter approaches zero. We also f...

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Bibliographic Details
Main Author: Tai-Chia Lin
Format: Article
Language:English
Published: Texas State University 2000-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2000/42/abstr.html