On the uniqueness of the recovery of the domain of the perturbed Laplace operator

DOI10.1134/S1995080222090116zbMath1501.35140OpenAlexW4312640421MaRDI QIDQ2095845

Baltabek Kanguzhin, Yerkebulan Akanbay, Zhalgas Kaiyrbek

Publication date: 15 November 2022

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080222090116

zbMATH Keywords

eigenvaluespertubations of the Laplace operator

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35P99) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Cites Work

• 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
• Correctness of the definition of the Laplace operator with delta-like potentials
• Recovering of two-point boundary conditions by finite set of eigenvalues of boundary value problems for higher order differential equations
• Корректное определение эллиптических операторов второго порядка с точечными взаимодействиями и их резольвенты

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