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Optimal Uniform Elliptic Estimates for the Ginzburg-Landau System

S. Fournais, B. Helffer

math.AParXiv:math/0612242

Abstract

We reconsider the elliptic estimates for magnetic operators in two and three dimensions used in connection with Ginzburg-Landau theory. Furthermore we discuss the so-called blow-up technique in order to obtain optimal estimates in the limiting cases.

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