Resolvents of well-posed problems for finite-rank perturbations of the polyharmonic operator in a punctured domain

DOI10.1134/S0037446616020099zbMath1346.35051MaRDI QIDQ530277

N. E. Tokmagambetov, Baltabek Kanguzhin

Publication date: 29 July 2016

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

resolventwell-posednesssolvabilityboundary value problempunctured domainpolyharmonic operatorfinite-rank perturbation

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40)

Related Items (11)

Formulas for the eigenvalues of the iterated Laplacian with singular potentials ⋮ Lagrange formula for differential operators on a tree-graph and the resolvents of well-posed restrictions of operator ⋮ 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 ⋮ LAGRANGE FORMULA FOR DIFFERENTIAL OPERATORS AND SELF-ADJOINT RESTRICTIONS OF THE MAXIMAL OPERATOR ON A TREE ⋮ Remark on the eigenvalues of the \(m\)-Laplacian in a punctured domain ⋮ Singular perturbations of Laplace operator and their resolvents ⋮ Changes in a finite part of the spectrum of the Laplace operator under delta-like perturbations ⋮ On the localization of the spectrum of some perturbations of a two-dimensional harmonic oscillator ⋮ On the uniqueness of the recovery of the domain of the perturbed Laplace operator ⋮ 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
• Positive definite functions and spectral properties of the Schrödinger operator with point interactions
• 1-D Schrödinger operators with local point interactions on a discrete set
• Sturm-Liouville operators with singular potentials
• A regularized trace formula for a well-perturbed Laplace operator
• The theory of extensions and explicitly-soluble models
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Resolvents of well-posed problems for finite-rank perturbations of the polyharmonic operator in a punctured domain