ON PSEUDO-SPECTRAL PROBLEMS RELATED TO A TIME-DEPENDENT MODEL IN SUPERCONDUCTIVITY WITH ELECTRIC CURRENT

Q4 Mathematics

Confluentes Mathematici Pub Date : 2011-11-20 DOI:10.1142/S1793744211000308

B. Helffer

引用次数: 19

Abstract

This article is initially inspired by a paper of Almog [2] on the effect of the electric current in a problem in superconductivity. Our goal here is to discuss in detail the simplest models which we think are enlightening for understanding the role of the pseudo-spectra in this question and to relate them to recent results obtained together with Almog and Pan. This paper is dedicated to Michelle Schatzman, who has shown her interest for these pseudo-spectral questions by giving a course in 2006 with the french title: "Une visite de la galerie des horreurs: pseudospectres de matrices de Toeplitz".

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带电流的超导中时间相关模型的伪谱问题

本文的灵感来自于Almog b[2]的一篇关于电流对超导问题的影响的论文。我们的目标是详细讨论我们认为对理解伪光谱在这个问题中的作用具有启发意义的最简单的模型，并将它们与最近与Almog和Pan一起获得的结果联系起来。这篇论文是献给米歇尔·沙茨曼的，她在2006年开设了一门法语课程，题目是“Une visite de la galerie des horreurs: pseudospectres de matrices de Toeplitz”，显示了她对这些伪幽灵问题的兴趣。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Confluentes Mathematici Mathematics-Mathematics (miscellaneous)

CiteScore

0.60

自引率

0.00%

发文量

期刊介绍： Confluentes Mathematici is a mathematical research journal. Since its creation in 2009 by the Institut Camille Jordan UMR 5208 and the Unité de Mathématiques Pures et Appliquées UMR 5669 of the Université de Lyon, it reflects the wish of the mathematical community of Lyon—Saint-Étienne to participate in the new forms of scientific edittion. The journal is electronic only, fully open acces and without author charges. The journal aims to publish high quality mathematical research articles in English, French or German. All domains of Mathematics (pure and applied) and Mathematical Physics will be considered, as well as the History of Mathematics. Confluentes Mathematici also publishes survey articles. Authors are asked to pay particular attention to the expository style of their article, in order to be understood by all the communities concerned.