Bulk superconductivity in Type II superconductors near the second critical field

2008/02/14 by Søren Fournais, Bernard Helffer, Fournais, S. +1
Materials Science · Physics and Astronomy · #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Iron-based superconductors research #Mathematical Physics (math-ph) #Physics of Superconductivity and Magnetism #Rare-earth and actinide compounds

paper · pdf · doi:10.48550/arxiv.0802.1979

openalex publication_date 2008/02/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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