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A remark on multiplicity of solutions for the Ginzburg-Landau equation

✍ Scribed by Feng Zhou; Qing Zhou

Book ID
114214486
Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
617 KB
Volume
16
Category
Article
ISSN
0294-1449

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Some remarks on the linearized operator
Some remarks on the linearized operator about the radial solution for the Ginzburg–Landau equation
✍ Anne Beaulieu πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 343 KB

We consider the linearized operators, denoted L d; 1 , of the Ginzburg-Landau operator u + u(1 -|u| 2 ) in R 2 , about the radial solutions u d; 1 (x) = f d (r)e idΓ‚ , for all d ΒΏ 1. We state the correspondence between the real vector space of the bounded solutions of the equation L d; 1 w=0 and the