Spectral methods in surface superconductivity

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...

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Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Fournais, Søren, 1973-...., mathématicien, Helffer, Bernard, 1949-...., mathématicien (Συγγραφέας)
Μορφή: Livre numérique
Γλώσσα:Anglais
Έκδοση: Boston, MA : Birkhäuser Boston [20..].
Cham : Springer Nature
Έκδοση:1st ed. 2010.
Σειρά:Progress in Nonlinear Differential Equations and Their Applications 77
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Edition sous un autre format:• Spectral methods in surface superconductivity, Søren Fournais, Bernard Helffer, 2010, Boston (Mass.) [etc.], Springer, 1 vol. (XX-324 p.), Progress in nonlinear differential equations and their applications, 978-0-8176-4796-4
Πίνακας περιεχομένων:
  • 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.
  • Part I: 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: R3 or R3,+
  • Introduction to Semiclassical Methods for the Schrödinger Operator with a Large Electric Potential
  • Large Field Asymptotics of the Magnetic Schrödinger Operator: The Case of Dimension 2
  • Main Results for Large Magnetic Fields in Dimension 3
  • Part II: Nonlinear Analysis
  • The Ginzburg Landau Functional
  • Optimal Elliptic Estimates
  • Decay Estimates
  • On the Third Critical Field HC3
  • Between HC2 and HC3 in Two Dimensions
  • On the Problems with Corners
  • On Other Models in Superconductivity and Open Problems
  • A - Min-Max Principle
  • B - Essential Spectrum and Persson s Theorem
  • C - Analytic Perturbation Theory
  • D - About the Curl-Div System
  • E - Regularity Theorems and Precise Estimates in Elliptic PDE
  • F - Boundary Coordinates