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".
@article{CML_2011__3_2_237_0,
author = {Bernard Helffer},
title = {On pseudo-spectral problems related to a time-dependent model in superconductivity with electric current},
journal = {Confluentes Mathematici},
pages = {237--251},
publisher = {World Scientific Publishing Co Pte Ltd},
volume = {3},
number = {2},
year = {2011},
doi = {10.1142/S1793744211000308},
language = {en},
url = {https://cml.centre-mersenne.org/articles/10.1142/S1793744211000308/}
}
TY - JOUR AU - Bernard Helffer TI - On pseudo-spectral problems related to a time-dependent model in superconductivity with electric current JO - Confluentes Mathematici PY - 2011 SP - 237 EP - 251 VL - 3 IS - 2 PB - World Scientific Publishing Co Pte Ltd UR - https://cml.centre-mersenne.org/articles/10.1142/S1793744211000308/ DO - 10.1142/S1793744211000308 LA - en ID - CML_2011__3_2_237_0 ER -
%0 Journal Article %A Bernard Helffer %T On pseudo-spectral problems related to a time-dependent model in superconductivity with electric current %J Confluentes Mathematici %D 2011 %P 237-251 %V 3 %N 2 %I World Scientific Publishing Co Pte Ltd %U https://cml.centre-mersenne.org/articles/10.1142/S1793744211000308/ %R 10.1142/S1793744211000308 %G en %F CML_2011__3_2_237_0
Bernard Helffer. On pseudo-spectral problems related to a time-dependent model in superconductivity with electric current. Confluentes Mathematici, Tome 3 (2011) no. 2, pp. 237-251. doi : 10.1142/S1793744211000308. https://cml.centre-mersenne.org/articles/10.1142/S1793744211000308/
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