Quantitative Uniqueness and Vortex Degree Estimates for Solutions of the Ginzburg-Landau Equation
Date
2000-10-02
Authors
Kukavica, Igor
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
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 [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.
Description
Keywords
Unique continuation, Vortices, Ginzburg-Landau equation
Citation
Kukavica, I. (2000). Quantitative uniqueness and vortex degree estimates for solutions of the Ginzburg-Landau equation. <i>Electronic Journal of Differential Equations, 2000</i>(61), pp. 1-15.
Rights
Attribution 4.0 International