03140nam a22004935i 4500 978-0-8176-4797-1 DE-He213 20260521092031.0 cr nn 008mamaa 100528s2009 xxu| s |||| 0|eng d 9780817647971 99780817647971 10.1007/978-0-8176-4797-1 doi 515.7 23 Fournais, Søren. author. Spectral Methods in Surface Superconductivity [electronic resource] / by Søren Fournais, Bernard Helffer. Boston : Birkhäuser Boston, 2009. XX, 324p. 2 illus. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Progress in Nonlinear Differential Equations and Their Applications ; 77 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. 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 magnetic field and with a sufficiently large Ginzburg-Landau 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 Ginzburg-Landau 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. MATHEMATICS. FUNCTIONAL ANALYSIS. DIFFERENTIAL EQUATIONS, PARTIAL. FUNCTIONS, SPECIAL. MATHEMATICS. FUNCTIONAL ANALYSIS. STRONGLY CORRELATED SYSTEMS, SUPERCONDUCTIVITY. PARTIAL DIFFERENTIAL EQUATIONS. SPECIAL FUNCTIONS. Helffer, Bernard. author. SpringerLink (Online service) Springer eBooks Printed edition: 9780817647964 Progress in Nonlinear Differential Equations and Their Applications ; 77 http://dx.doi.org/10.1007/978-0-8176-4797-1 Ver el texto completo en las instalaciones del CICY ZDB-2-SMA ddc ER 35725 35725 0 0 ddc 0 0 LE CICY CICY EL 2025-10-06 0 515.7 2025-10-06 08:44:39 2025-10-06 ER