On the number of negative eigenvalues of the Laplacian on a metric graph
(2010) In Journal of Physics A: Mathematical and Theoretical 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:
https://lup.lub.lu.se/record/1753211
- author
- Behrndt, Jussi and Luger, Annemarie LU
- organization
- publishing date
- 2010
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Journal of Physics A: Mathematical and Theoretical
- volume
- 43
- issue
- 47
- article number
- 474006
- 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
- 2016-04-01 14:52:32
- date last changed
- 2022-01-28 02:58:51
@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).}}, author = {{Behrndt, Jussi and Luger, Annemarie}}, issn = {{1751-8113}}, language = {{eng}}, number = {{47}}, publisher = {{IOP Publishing}}, series = {{Journal of Physics A: Mathematical and Theoretical}}, 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}}, doi = {{10.1088/1751-8113/43/47/474006}}, volume = {{43}}, year = {{2010}}, }