On regularized trace formulas for a well-posed perturbation of the \(m\)-Laplace operator

DOI10.1134/S0012266115120058zbMath1341.35016OpenAlexW2339356706MaRDI QIDQ268014

N. E. Tokmagambetov, Baltabek Kanguzhin

Publication date: 12 April 2016

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266115120058

zbMATH Keywords

Helmholtz equationPoisson equation\(m\)-Laplace operatorpunctured domain

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (8)

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 ⋮ Remark on the eigenvalues of the \(m\)-Laplacian 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 ⋮ Корректное определение эллиптических операторов второго порядка с точечными взаимодействиями и их резольвенты

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

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