Spectral Methods in Surface Superconductivity

Authors:

ISBN: 978-0-8176-4796-4 (Print) 978-0-8176-4797-1 (Online)

Table of contents (16 chapters)

  1. Front Matter

    Pages I-XX

  2. Linear Analysis

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-17

      Spectral Analysis of Schrödinger Operators

    3. No Access

      Book Chapter

      Pages 19-30

      Diamagnetism

    4. No Access

      Book Chapter

      Pages 31-43

      Models in One Dimension

    5. No Access

      Book Chapter

      Pages 45-50

      Constant Field Models in Dimension 2: Noncompact Case

    6. No Access

      Book Chapter

      Pages 51-65

      Constant Field Models in Dimension 2: Discs and Their Complements

    7. No Access

      Book Chapter

      Pages 67-77

      Models in Dimension 3: \(\mathbb{R}^3\) or \(\mathbb{R}^{3,+}\)

    8. No Access

      Book Chapter

      Pages 79-94

      Introduction to Semiclassical Methods for the Schrödinger Operator with a Large Electric Potential

    9. No Access

      Book Chapter

      Pages 95-115

      Large Field Asymptotics of the Magnetic Schrödinger Operator: The Case of Dimension 2

    10. No Access

      Book Chapter

      Pages 117-137

      Main Results for Large Magnetic Fields in Dimension 3

  3. Nonlinear Analysis

    1. Front Matter

      Pages 140-140

    2. No Access

      Book Chapter

      Pages 141-156

      The Ginzburg–Landau Functional

    3. No Access

      Book Chapter

      Pages 157-178

      Optimal Elliptic Estimates

    4. No Access

      Book Chapter

      Pages 179-192

      Decay Estimates

    5. No Access

      Book Chapter

      Pages 193-207

      On the Third Critical Field \(H_{C_3}\)

    6. No Access

      Book Chapter

      Pages 209-238

      Between \(H_{C_2}\) and \(H_{C_3}\) in Two Dimensions

    7. No Access

      Book Chapter

      Pages 239-260

      On the Problems with Corners

    8. No Access

      Book Chapter

      Pages 261-268

      On Other Models in Superconductivity and Open Problems

  4. Back Matter

    Pages 269-324