Localization of eigenvalues for non-self-adjoint Dirac and Klein–Gordon operators. (January 2022)

• Record Type: Journal Article
• Authors: D'Ancona, P.; Fanelli, L.; Krejčiřík, D.; Schiavone, N.M.
• Is Part Of: Nonlinear analysis. Volume 214(2022)
• Publication Date: 2022-01
• Subjects: primary 35P15 35J99 47A10 47F05 81Q12; Non-selfadjoint -- Localization of eigenvalues -- Dirac operator -- Klein–Gordon operator -- Birman–Schwinger principle; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2021.112565
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: This note aims to give prominence to some new results on the absence and localization of eigenvalues for the Dirac and Klein–Gordon operators, starting from known resolvent estimates already established in the literature combined with the renowned Birman–Schwinger principle.