Authors:
- Covers groundbreaking results in the fast growing field of superconductivity
- Provides a concrete introduction to PDEs and spectral methods
- Covers both two- and three-dimensional cases of Ginzburg–Landau function extensively
- Open problems included
- Includes supplementary material: sn.pub/extras
Part of the book series: Progress in Nonlinear Differential Equations and Their Applications (PNLDE, volume 77)
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Table of contents (16 chapters)
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Front Matter
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Linear Analysis
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Front Matter
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Back Matter
About this book
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.
Reviews
From the reviews:
“The book is concerned with the analysis of mathematical problems connected with the theory of superconductivity. The authors consider a standard basic model of superconductivity described by the Ginzburg-Landau functional. … The authors attempt to make the book self-contained, having graduate students and researchers in mind. For this purpose, at the end of the book they add various appendices containing somewhat standard material. … The book concludes with a fairly complete bibliography on the subject.” (Yuri A. Kordyukov, Mathematical Reviews, Issue 2011 j)Authors and Affiliations
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Department of Mathematical Sciences, University of Aarhus, Aarhus C, Denmark
Søren Fournais
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, Département de Mathématiques, Université Paris-Sud and CNRS, Orsay Cedex, France
Bernard Helffer
Bibliographic Information
Book Title: Spectral Methods in Surface Superconductivity
Authors: Søren Fournais, Bernard Helffer
Series Title: Progress in Nonlinear Differential Equations and Their Applications
DOI: https://doi.org/10.1007/978-0-8176-4797-1
Publisher: Birkhäuser Boston, MA
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Boston 2010
Hardcover ISBN: 978-0-8176-4796-4Published: 15 June 2010
eBook ISBN: 978-0-8176-4797-1Published: 19 May 2010
Series ISSN: 1421-1750
Series E-ISSN: 2374-0280
Edition Number: 1
Number of Pages: XX, 324
Number of Illustrations: 2 b/w illustrations
Topics: Analysis, Functional Analysis, Electronics and Microelectronics, Instrumentation, Strongly Correlated Systems, Superconductivity, Partial Differential Equations, Special Functions