Options
On eigenvalue bounds for a general class of Sturm-Liouville operators
Publikationstyp
Journal Article
Date Issued
2016-11-21
Sprache
English
Author(s)
Institut
Volume
19
Issue
4
Article Number
25
Citation
Mathematical Physics Analysis and Geometry 19 (4): 25 (2016)
Publisher DOI
Scopus ID
Publisher
Springer Science + Business Media B.V.
We consider Sturm-Liouville operators with measure-valued weight and potential, and positive, bounded diffusion coefficient which is bounded away from zero. By means of a local periodicity condition, which can be seen as a quantitative Gordon condition, we prove a bound on eigenvalues for the corresponding operator in Lp, for 1 ≤ p< ∞. We also explain the sharpness of our quantitative bound, and provide an example for quasiperiodic operators.
Subjects
Eigenvalue problem
Jacobi operators
Quasiperiodic operators
Sturm-Liouville operators
Transfer matrices
DDC Class
510: Mathematik