Geodesic
Quantitative, uniqueness, and vortex degree estimates for solutions of the Ginzburg-Landau equation
Electronic journal of differential equations, Tome 2000 (2000)
In this paper, we provide a sharp upper bound for the maximal order of vanishing for non-minimizing solutions of the Ginzburg-Landau equation

$ \Delta u=-{1\over\epsilon^2}(1-|u|^2)u $

which improves our previous result [12]. An application of this result is a sharp upper bound for the degree of any vortex. We treat Dirichlet (homogeneous and non-homogeneous) as well as Neumann boundary conditions.
Classification : 35B05, 35J25, 35J60, 35J65, 35Q35
Keywords: unique continuation, vortices, Ginzburg-Landau equation 
@article{EJDE_2000__2000__a159,
     author = {Kukavica,  Igor},
     title = {Quantitative, uniqueness, and vortex degree estimates for solutions of the {Ginzburg-Landau} equation},
     journal = {Electronic journal of differential equations},
     year = {2000},
     volume = {2000},
     zbl = {0963.35007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a159/}
}
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JO  - Electronic journal of differential equations
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%0 Journal Article
%A Kukavica,  Igor
%T Quantitative, uniqueness, and vortex degree estimates for solutions of the Ginzburg-Landau equation
%J Electronic journal of differential equations
%D 2000
%V 2000
%U http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a159/
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%F EJDE_2000__2000__a159
Kukavica,  Igor. Quantitative, uniqueness, and vortex degree estimates for solutions of the Ginzburg-Landau equation. Electronic journal of differential equations, Tome 2000 (2000). http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a159/