JournalsjemsVol. 12, No. 2pp. 461–470

Bulk superconductivity in Type II superconductors near the second critical field

  • Bernard Helffer

    Université de Nantes, France
  • Søren Fournais

    University of Aarhus, Denmark
Bulk superconductivity in Type II superconductors near the second critical field cover
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Abstract

We consider superconductors of Type II near the transition from the ‘bulk superconducting’ to the ‘surface superconducting’ state. We prove a new _L_∞ estimate on the order parameter in the bulk, i.e. away from the boundary. This solves an open problem posed by Aftalion and Serfaty [AS].

Cite this article

Bernard Helffer, Søren Fournais, Bulk superconductivity in Type II superconductors near the second critical field. J. Eur. Math. Soc. 12 (2010), no. 2, pp. 461–470

DOI 10.4171/JEMS/205