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.
URI: http://hdl.handle.net/11420/11146
ISSN: 1572-9656
Journal: Mathematical physics, analysis and geometry 
Institute: Mathematik E-10 
Document Type: Article
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