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On the number of negative eigenvalues of the Laplacian on a metric graph

Behrndt, Jussi and Luger, Annemarie LU (2010) In Journal of Physics A: Mathematical and Theoretical2007-01-01+01:00 43(47).
Abstract
The number of negative eigenvalues of self-adjoint Laplacians on metric graphs is calculated in terms of the boundary conditions and the underlying geometric structure. This extends and complements earlier results by Kostrykin and Schrader (2006 Contemp. Math. 415 201-25).
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Journal of Physics A: Mathematical and Theoretical2007-01-01+01:00
volume
43
issue
47
publisher
IOP Publishing
external identifiers
  • wos:000284100400007
  • scopus:78649653052
ISSN
1751-8113
DOI
10.1088/1751-8113/43/47/474006
language
English
LU publication?
yes
id
fd49cdde-6361-4177-8f70-a812b460c1a9 (old id 1753211)
date added to LUP
2010-12-29 14:43:40
date last changed
2018-05-29 10:08:02
@article{fd49cdde-6361-4177-8f70-a812b460c1a9,
  abstract     = {The number of negative eigenvalues of self-adjoint Laplacians on metric graphs is calculated in terms of the boundary conditions and the underlying geometric structure. This extends and complements earlier results by Kostrykin and Schrader (2006 Contemp. Math. 415 201-25).},
  articleno    = {474006},
  author       = {Behrndt, Jussi and Luger, Annemarie},
  issn         = {1751-8113},
  language     = {eng},
  number       = {47},
  publisher    = {IOP Publishing},
  series       = {Journal of Physics A: Mathematical and Theoretical2007-01-01+01:00},
  title        = {On the number of negative eigenvalues of the Laplacian on a metric graph},
  url          = {http://dx.doi.org/10.1088/1751-8113/43/47/474006},
  volume       = {43},
  year         = {2010},
}