In this paper, we provide a sharp upper bound for the maximal order of vanishing for non-minimizing solutions of the Ginzburg-Landau equation
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.
Submitted June 23, 2000. Published October 2, 2000.
Math Subject Classifications: 35B05, 35J25, 35J60, 35J65, 35Q35.
Key Words: Unique continuation, vortices, Ginzburg-Landau equation.
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| Igor Kukavica |
Department of Mathematics
University of Southern California
Los Angeles, CA 90089
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