Correctness of the definition of the Laplace operator with delta-like potentials

DOI10.1080/17476933.2020.1849164zbMath1491.35141arXiv1908.10277OpenAlexW2970113249MaRDI QIDQ5066125

Kanat S. Tulenov, Baltabek Kanguzhin

Publication date: 29 March 2022

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

Full work available at URL: https://arxiv.org/abs/1908.10277

zbMATH Keywords

resolventDirichlet problemLaplace operatordelta-like potential

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (3)

On hyponormal and dissipative correct extensions and restrictions ⋮ An abstract theorem on completeness of systems of root vectors of correct restrictions ⋮ On the uniqueness of the recovery of the domain of the perturbed Laplace operator

Cites Work

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• 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
• Triplet extensions. I: Semibounded operators in the scale of Hilbert spaces
• Sturm-Liouville operators with singular potentials
• A regularized trace formula for a well-perturbed Laplace operator
• A maximum of the first eigenvalue of semibounded differential operator with a parameter
• Trace formulas for a perturbed operator
• Point interaction Hamiltonians in bounded domains
• ON PERTURBATION OF A POLYHARMONIC OPERATOR BY DELTA-LIKE POTENTIALS
• The theory of extensions and explicitly-soluble models
• Second order periodic differential operators. Threshold properties and homogenization
• Singular perturbations of Laplace operator and their resolvents
• Trace Formulas for Powers of a Sturm-Liouville Operator
• ASSOCIATED STURM-LIOUVILLE SYSTEMS

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