The Imaginary Airy Operator with a One-Center δ-Interaction

Jussi Behrndt; Iveta Semorádová; Petr Siegl

The Imaginary Airy Operator with a One-Center δ-Interaction

Jussi Behrndt
, Iveta Semorádová
, Petr Siegl

Institut für Angewandte Mathematik (5040)

Publikation: Beitrag in einer Fachzeitschrift › Artikel › Begutachtung

Abstract

The aim of this paper is to investigate spectral properties of the imaginary Airy operator with an additional δ-interaction. We find the asymptotic behavior of large eigenvalues and the resolvent norm, and thereby also establish the completeness of the eigensystem. The results are compared, in particular, with the properties of the imaginary Airy operator with an additional δ-interaction studied in [18].

Originalsprache	englisch
Seiten (von - bis)	915-934
Seitenumfang	20
Fachzeitschrift	Pure and Applied Functional Analysis
Jahrgang	9
Ausgabenummer	4
Publikationsstatus	Veröffentlicht - 2024

ASJC Scopus subject areas

Analyse
Angewandte Mathematik
Steuerung und Optimierung

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Verknüpfung zur Publikation in Scopus

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KW - Eigenvalues

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KW - Resolvent estimate

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