Publisher DOI: 10.1007/s11040-016-9230-0
Title: On eigenvalue bounds for a general class of Sturm-Liouville operators
Language: English
Authors: Seifert, Christian  
Keywords: Eigenvalue problem; Jacobi operators; Quasiperiodic operators; Sturm-Liouville operators; Transfer matrices
Issue Date: 21-Nov-2016
Publisher: Springer Science + Business Media B.V.
Source: Mathematical Physics Analysis and Geometry 19 (4): 25 (2016)
Abstract (english): 
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.
ISSN: 1572-9656
Journal: Mathematical physics, analysis and geometry 
Institute: Mathematik E-10 
Document Type: Article
Appears in Collections:Publications without fulltext

Show full item record

Page view(s)

Last Week
Last month
checked on Jul 5, 2022

Google ScholarTM


Add Files to Item

Note about this record

Cite this record


Items in TORE are protected by copyright, with all rights reserved, unless otherwise indicated.