Bulk superconductivity in Type II superconductors near the second critical field
Bernard Helffer
Université de Nantes, FranceSøren Fournais
University of Aarhus, Denmark

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