On pseudo-spectral problems related to a time-dependent model in superconductivity with electric current
type: Item
instance of: scholarly article
title: On pseudo-spectral problems related to a time-dependent model in superconductivity with electric current
zbMATH Open document ID: 1223.82070
DOI: 10.1142/S1793744211000308
author: Bernard Helffer
published in: Confluentes Mathematici
publication date: 2011-08-10T00:00:00Z
review text: The paper under review is motivated by the study of the effect of the electric current in a problem arising in superconductivity theory. In the first part of the present paper there are given proofs with some general character and which are applied to a more physical model that involves the non-self-adjoint differential operator \(-\partial^2_x-(\partial_y-ix^2/2)^2+icy\) (\(c\not=0\)) on \({\mathbb R}^2_{x,y}\). The next section is devoted to a pseudo-spectral analysis of the complex Airy operator \(D_x^2+ix\) (with \(D_x=-i\frac{d}{dx}\)) both on the real axis and on \({\mathbb R}^+\).
reviewed by: Vicenţiu D. Rădulescu
Mathematics Subject Classification ID: 82D55
Mathematics Subject Classification ID: 35P10
Mathematics Subject Classification ID: 35P15
zbMATH DE Number: 5937820
zbMATH Keywords: non-self-adjoint operators
zbMATH Keywords: pseudo-spectrum
zbMATH Keywords: superconductivity
MaRDI profile type: Publication
description: scientific article