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Strong diamagnetism form the ball in three dimensions

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Author

Summary, in English

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.

Department/s

Publishing year

2011

Language

English

Pages

77-123

Publication/Series

Asymptotic Analysis

Volume

72

Issue

1-2

Document type

Journal article

Publisher

I O S Press

Topic

  • Mathematics

Keywords

  • eigenvalue asymptotics
  • large magnetic field
  • unit ball
  • Ginzburg–Landau functional
  • surface superconductivity

Status

Published

Research group

  • Partial differential equations

ISBN/ISSN/Other

  • ISSN: 1875-8576