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Bulk superconductivity in Type II superconductors near the second critical field

Soren Fournais, Bernard Helffer (2010)

Journal of the European Mathematical Society

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].

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