Optimal Uniform Elliptic Estimates for the Ginzburg-Landau System

Details Optimal Uniform Elliptic Estimates for the Ginzburg-Landau System Optimal Uniform Elliptic Estimates for the Ginzburg-Landau System

2006-12-09

arxiv.org/abs/math/0612242v1

Mathematics

Analysis of PDEs

20 pages

Scientific paper

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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