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Bulk superconductivity in Type II superconductors near the second critical field

Mathematical Physics 2008-02-15 v1 Analysis of PDEs math.MP

Abstract

We consider superconductors of Type II near the transition from the 'bulk superconducting' to the 'surface superconducting' state. We prove a new LL^{\infty} estimate on the order parameter in the bulk, i.e. away from the boundary. This solves an open problem posed by Aftalion and Serfaty.

Keywords

Cite

@article{arxiv.0802.1979,
  title  = {Bulk superconductivity in Type II superconductors near the second critical field},
  author = {S. Fournais and B. Helffer},
  journal= {arXiv preprint arXiv:0802.1979},
  year   = {2008}
}

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9 pages