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

Jussi Behrndt, Annemarie Luger

Research output: Contribution to journalArticlepeer-review

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).
Original languageEnglish
Article number474006
JournalJournal of Physics A: Mathematical and Theoretical
Volume43
Issue number47
DOIs
Publication statusPublished - 2010

Subject classification (UKÄ)

  • Mathematics

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