On pseudo-spectral problems related to a time-dependent model in superconductivity with electric current
Confluentes Mathematici, Volume 3 (2011) no. 2, pp. 237-251.

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".

Published online:
DOI: 10.1142/S1793744211000308
Bernard Helffer 1

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Bernard Helffer. On pseudo-spectral problems related to a time-dependent model in superconductivity with electric current. Confluentes Mathematici, Volume 3 (2011) no. 2, pp. 237-251. doi : 10.1142/S1793744211000308. https://cml.centre-mersenne.org/articles/10.1142/S1793744211000308/

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