Change search
ReferencesLink to record
Permanent link

Direct link
Rayleigh estimates for differential operators on graphs
Stockholm University, Faculty of Science, Department of Mathematics.
2014 (English)In: Journal of Spectral Theory, ISSN 1664-039X, E-ISSN 1664-0403, Vol. 4, no 2, 211-219 p.Article in journal (Refereed) Published
Abstract [en]

We study the spectral gap, i.e. the distance between the two lowest eigenvalues for Laplace operators on metric graphs. A universal lower estimate for the spectral gap is proven and it is shown that it is attained if the graph is formed by just one interval. Uniqueness of the minimizer allows to prove a geometric version of the Ambartsumian theorem derived originally for Schrodinger operators.

Place, publisher, year, edition, pages
2014. Vol. 4, no 2, 211-219 p.
Keyword [en]
Quantum graph, Eulerian path, spectral gap
National Category
URN: urn:nbn:se:su:diva-107209DOI: 10.4171/JST/67ISI: 000340040100001OAI: diva2:743975


Available from: 2014-09-05 Created: 2014-09-05 Last updated: 2014-09-05Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full text

Search in DiVA

By author/editor
Kurasov, Pavel
By organisation
Department of Mathematics
In the same journal
Journal of Spectral Theory

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 14 hits
ReferencesLink to record
Permanent link

Direct link