A regularized trace formula for a well-perturbed Laplace operator

DOI10.1134/S1064562415010019zbMath1325.35015MaRDI QIDQ2353048

Baltabek Kanguzhin, N. E. Tokmagambetov

Publication date: 7 July 2015

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

first regularized trace of Laplace operatorperturbations of boundary conditions

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (9)

Formulas for the eigenvalues of the iterated Laplacian with singular potentials ⋮ Correctness of the definition of the Laplace operator with delta-like potentials ⋮ Weinstein criteria and regularized traces in the case of transverse vibrations of an elastic string with springs ⋮ A maximum of the first eigenvalue of semibounded differential operator with a parameter ⋮ Remark on the eigenvalues of the \(m\)-Laplacian in a punctured domain ⋮ Resolvents of well-posed problems for finite-rank perturbations of the polyharmonic operator in a punctured domain ⋮ Singular perturbations of Laplace operator and their resolvents ⋮ On the localization of the spectrum of some perturbations of a two-dimensional harmonic oscillator ⋮ Spectral properties of the iterated Laplacian with a potential in a punctured domain

Cites Work

• Laplace operator with \(\delta\)-like potentials
• Well-posed problems for the Laplace operator in a punctured disk
• Traces of differential operators
• Finite-dimensional perturbations of discrete operators and formulas for traces
• Traces of operators with relatively compact perturbations
• Regularized traces of discrete operators
• Non-nuclear perturbations of discrete operators and trace formulae
• Unnamed Item

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