On the localization of the spectrum of some perturbations of a two-dimensional harmonic oscillator

DOI10.1080/17476933.2021.1885386zbMath1469.35102OpenAlexW3131563087MaRDI QIDQ4994475

Z. Yu. Fazullin, Baltabek Kanguzhin

Publication date: 18 June 2021

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2021.1885386

zbMATH Keywords

eigenvaluesboundary value problemsperturbations of a two-dimensional harmonic oscillator

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Asymptotic distributions of eigenvalues in context of PDEs (35P20)

Cites Work

• On regularized trace formulas for a well-posed perturbation of the \(m\)-Laplace operator
• Laplace operator with \(\delta\)-like potentials
• Resolvents of well-posed problems for finite-rank perturbations of the polyharmonic operator in a punctured domain
• Well-posed problems for the Laplace operator in a punctured disk
• Changes in a finite part of the spectrum of the Laplace operator under delta-like perturbations
• A regularized trace formula for a well-perturbed Laplace operator
• Regularized trace of a two-dimensional harmonic oscillator
• Finite-dimensional perturbations of Volterra operators
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