LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	515.7
Title	Spectral Methods in Surface Superconductivity ([Ebook]) / by Søren Fournais, Bernard Helffer.
Author	Fournais, Soren
Added Personal Name	Helffer, Bernard
Other name(s)	SpringerLink (Online service)
Publication	Boston : Birkhäuser , 2009.
Physical Details	XX, 324 pages:. 2 illus. : online resource.
Series	Progress in nonlinear differential equations and their applications ; 77
ISBN	9780817647971
Summary Note	During the past decade, the mathematics of superconductivity has been the subject of intense activity. This book examines in detail the nonlinear GinzburgâLandau functional, the model most commonly used in the study of superconductivity. Specifically covered are cases in the presence of a strong magnetic field and with a sufficiently large GinzburgâLandau parameter kappa. Key topics and features of the work: * Provides a concrete introduction to techniques in spectral theory and partial differential equations * Offers a complete analysis of the two-dimensional GinzburgâLandau functional with large kappa in the presence of a magnetic field * Treats the three-dimensional case thoroughly * Includes open problems Spectral Methods in Surface Superconductivity is intended for students and researchers with a graduate-level understanding of functional analysis, spectral theory, and the analysis of partial differential equations. The book also includes an overview of all nonstandard material as well as important semi-classical techniques in spectral theory that are involved in the nonlinear study of superconductivity.:
Contents note	Preface -- Notation -- Part I Linear Analysis -- 1 Spectral Analysis of SchrÂ¨odinger Operators -- 2 Diamagnetism -- 3 Models in One Dimension -- 4 Constant Field Models in Dimension 2: Noncompact Case -- 5 Constant Field Models in Dimension 2: Discs and Their Complements -- 6 Models in Dimension 3: R3 or R3,+ -- 7 Introduction to Semiclassical Methods for the SchrÂ¨odinger Operator with a Large Electric Potential -- 8 Large Field Asymptotics of the Magnetic SchrÂ¨odinger Operator: The Case of Dimension 2 -- 9 Main Results for Large Magnetic Fields in Dimension 3 -- Part II Nonlinear Analysis.-10 The GinzburgâLandau Functional -- 11 Optimal Elliptic Estimates -- 12 Decay Estimates -- 13 On the Third Critical Field HC3 -- 14 Between HC2 and HC3 in Two Dimensions -- 15 On the Problems with Corners -- 16 On Other Models in Superconductivity and Open Problems -- A Min-Max Principle -- B Essential Spectrum and Perssonâs Theorem -- C Analytic Perturbation Theory -- D About the Curl-Div System -- E Regularity Theorems and Precise Estimates in Elliptic PDE -- F Boundary Coordinates -- References -- Index.
System details note	Access is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-0-8176-4797-1
Links to Related Works	Subject References: Differential equations, Partial . Functional Analysis . Functions, Special . Partial differential equations . Special Functions . Strongly Correlated Systems, Superconductivity . Authors: author . Fournais, Soren . Helffer, Bernard . Corporate Authors: SpringerLink (Online service) . Series: Progress in nonlinear differential equations and their applications . Classification: 515.7 . 515.7 (DDC 23) .

Catalogue Display

Spectral Methods in Surface Superconductivity

Reviews