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Strong diamagnetism form the ball in three dimensions

Fournais, Søren and Persson Sundqvist, Mikael LU (2011) In Asymptotic Analysis 72(1-2). p.77-123
Abstract
In this paper we give a detailed asymptotic formula for the lowest eigenvalue of the magnetic Neumann Schrödingeroperator in the ball in thre e dimensions with constant magnetic field, as the strength of the magnetic field tends to infinity. This asymptotic formula is used to prove that the eigenvalue is monotonically increasing for large values of the magnetic field.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
eigenvalue asymptotics, large magnetic field, unit ball, Ginzburg–Landau functional, surface superconductivity
in
Asymptotic Analysis
volume
72
issue
1-2
pages
77 - 123
publisher
I O S Press
external identifiers
  • scopus:79955608097
ISSN
1875-8576
DOI
10.3233/ASY-2010-1023
language
English
LU publication?
yes
id
391199be-3f18-476e-8b4a-96fd78927355 (old id 4221742)
date added to LUP
2014-01-23 14:47:17
date last changed
2017-02-09 12:08:49
@article{391199be-3f18-476e-8b4a-96fd78927355,
  abstract     = {In this paper we give a detailed asymptotic formula for the lowest eigenvalue of the magnetic Neumann Schrödingeroperator in the ball in thre e dimensions with constant magnetic field, as the strength of the magnetic field tends to infinity. This asymptotic formula is used to prove that the eigenvalue is monotonically increasing for large values of the magnetic field.},
  author       = {Fournais, Søren and Persson Sundqvist, Mikael},
  issn         = {1875-8576},
  keyword      = {eigenvalue asymptotics,large magnetic field,unit ball,Ginzburg–Landau functional,surface superconductivity},
  language     = {eng},
  number       = {1-2},
  pages        = {77--123},
  publisher    = {I O S Press},
  series       = {Asymptotic Analysis},
  title        = {Strong diamagnetism form the ball in three dimensions},
  url          = {http://dx.doi.org/10.3233/ASY-2010-1023},
  volume       = {72},
  year         = {2011},
}