Kukavica, Igor2019-12-202019-12-202000-10-02Kukavica, 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. 1-15.1072-6691https://hdl.handle.net/10877/9124In 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.Text15 pages1 file (.pdf)enAttribution 4.0 InternationalUnique continuationVorticesGinzburg-Landau equationArticle