Quantitative Uniqueness and Vortex Degree Estimates for Solutions of the Ginzburg-Landau Equation
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In this paper, we provide a sharp upper bound for the maximal order of vanishing for non-minimizing solutions of the Ginzburg-Landau equation
Δu = -1/∈2 (1 - |u|2)u
which improves our previous result . 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.
CitationKukavica, I. (2000). Quantitative uniqueness and vortex degree estimates for solutions of the Ginzburg-Landau equation. Electronic Journal of Differential Equations, 2000(61), pp. 1-15.
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