表面超导的光谱方法

在过去的十年里，超导电性的数学一直是活跃的主题。本书详细研究了非线性金兹堡-朗道泛函，这是超导研究中最常用的模型。特别涉及的是存在强磁场且具有足够大的金兹堡-朗道参数kappa的情况。
工作的主要主题和特点
*提供光谱理论和偏微分方程技术的具体介绍
*提供了一个完整的分析二维金兹堡-朗道函数与大卡帕在磁场的存在
*彻底治疗三维病例
*包括开放性问题
表面超导中的光谱方法是为对泛函分析、光谱理论和偏微分方程分析有研究生水平理解的学生和研究人员设计的。这本书还包括所有非标准材料的概述，以及光谱理论中涉及超导电性非线性研究的重要半经典技术。
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 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.

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