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Date
2021-01-01Type
- Journal Article
Abstract
We derive quantitative bounds for eigenvalues of complex perturbations of the indefinite Laplacian on the real line. Our results substantially improve existing results even for real potentials. For L1-potentials, we obtain optimal spectral enclosures which accommodate also embedded eigenvalues, while our result for Lp-potentials yield sharp spectral bounds on the imaginary parts of eigenvalues of the perturbed operator for all p ∈ [1, ∞). The sharpness of the results are demonstrated by means of explicit examples. © 2020 Elsevier Inc. Show more
Publication status
publishedExternal links
Journal / series
Journal of Functional AnalysisVolume
Pages / Article No.
Publisher
ElsevierSubject
Indefinite Laplacian; Spectrum; (Embedded) eigenvalue; Lieb-Thirring inequalityOrganisational unit
03355 - Graf, Gian Michele / Graf, Gian Michele
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