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Chueh-Hsin Chang

2011-12-02
13:30:00 - 15:00:00

308 , Mathematics Research Center Building (ori. New Math. Bldg.)

This talk follows from the paper by del Pino, Felmer and Kowalczyk in Int. Math. Res. Not. 2004, no. 30, 1511–1527. They consider the degree-one symmetric vortex solution to the Ginzburg-Landau equation in R^2. In particular, they prove that this solution is a strict minimizer of the related energy functional for variations in a natural Hilbert space derived from the quadratic form of the linearized equation. As a corollary they obtain a Fredholm alternative theorem for the linearized Ginzburg-Landau operator.