Spectral Methods in Surface Superconductivity

• Main Authors: Fournais, Søren (Author), Helffer, Bernard (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston : Birkhäuser Boston, 2010.
• Series: Progress in Nonlinear Differential Equations and Their Applications ; 77
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Functional analysis.; Partial differential equations.; Special functions.; Superconductivity.; Superconductors.; Electronics.; Microelectronics.; Analysis.; Functional Analysis.; Electronics and Microelectronics, Instrumentation.; Strongly Correlated Systems, Superconductivity.; Partial Differential Equations.; Special Functions.

During the past decade, the mathematics of superconductivity has been the subject of intense activity. This book examines in detail the nonlinear Ginzburg–Landau functional, the model most commonly used in the study of superconductivity. Specifically covered are cases in the presence of a strong mag...

Table of Contents:

• Linear Analysis
• Spectral Analysis of Schrödinger Operators
• Diamagnetism
• Models in One Dimension
• Constant Field Models in Dimension 2: Noncompact Case
• Constant Field Models in Dimension 2: Discs and Their Complements
• Models in Dimension 3: or.