An estimate on the non‐real spectrum of a singular indefinite Sturm‐Liouville operator | Zendy

Behrndt Jussi | Zendy; Gsell Bernhard | Zendy; Schmitz Philipp | Zendy; Trunk Carsten | Zendy

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An estimate on the non‐real spectrum of a singular indefinite Sturm‐Liouville operator

Author(s) -

Behrndt Jussi,

Gsell Bernhard,

Schmitz Philipp,

Trunk Carsten

Publication year - 2017

Publication title -

pamm

Language(s) - English

Resource type - Journals

ISSN - 1617-7061

DOI - 10.1002/pamm.201710397

Subject(s) - sturm–liouville theory , spectrum (functional analysis) , operator (biology) , radius , mathematics , mathematical analysis , pure mathematics , mathematical physics , physics , chemistry , quantum mechanics , computer science , boundary value problem , biochemistry , computer security , repressor , transcription factor , gene

It will be shown with the help of the Birman‐Schwinger principle that the non‐real spectrum of the singular indefinite Sturm‐Liouville operator sgn(·)(−d 2 /d x 2 + q ) with a real potential q ∈ L 1 ∩ L 2 is contained in a circle around the origin with radius ‖ q ‖ L 1 2 . (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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