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Some remarks concerning symmetry-breaking for the Ginzburg–Landau equation

✍ Scribed by Esposito, Pierpaolo

Book ID
120797419
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
554 KB
Volume
265
Category
Article
ISSN
0022-1236

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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 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 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 id , for all d ¿ 1. We state the correspondence between the real vector space of the bounded solutions of the equation L d; 1 w=0 and the