Eigenfunctions of Laplacians on periodic metric graphs

E. Korotyaev, N. Saburova

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We consider the Kirchhoff Laplacians on equilateral periodic metric graphs. We present results about spectral properties of these operators: 1) the decomposition of the metric Laplacians into a constant fiber direct integral (with an exact form of fiber operators); 2) the relation between eigenfunctions of fiber operators for the metric and discrete Laplacians; 3) a uniform bound for the eigenfunctions of the fiber metric Laplacians.

Original languageEnglish
Title of host publicationProceedings of the International Conference Days on Diffraction, DD 2016
EditorsA.Ya. Kazakov, A.P. Kiselev, O.V. Motygin, A.S. Kirpichnikova, L.I. Goray, P.V. Kapitanova
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages223-228
Number of pages6
ISBN (Electronic)9781509058006
DOIs
StatePublished - 28 Nov 2016
Event2016 International Conference Days on Diffraction, DD 2016 - St. Petersburg, Russian Federation
Duration: 27 Jun 20161 Jul 2016

Publication series

NameProceedings of the International Conference Days on Diffraction, DD 2016

Conference

Conference2016 International Conference Days on Diffraction, DD 2016
CountryRussian Federation
CitySt. Petersburg
Period27/06/161/07/16

Scopus subject areas

  • Radiation
  • Instrumentation

Fingerprint

Dive into the research topics of 'Eigenfunctions of Laplacians on periodic metric graphs'. Together they form a unique fingerprint.

Cite this