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Optimal Uniform Elliptic Estimates for the Ginzburg-Landau System

Analysis of PDEs 2007-05-23 v1 Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.math/0612242,
  title  = {Optimal Uniform Elliptic Estimates for the Ginzburg-Landau System},
  author = {S. Fournais and B. Helffer},
  journal= {arXiv preprint arXiv:math/0612242},
  year   = {2007}
}

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20 pages