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arxiv: math/0612242 · v1 · submitted 2006-12-09 · 🧮 math.AP · math-ph· math.MP

Optimal Uniform Elliptic Estimates for the Ginzburg-Landau System

classification 🧮 math.AP math-phmath.MP
keywords estimatesellipticginzburg-landauoptimalblow-upcasesconnectiondimensions
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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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