The basis property of the system of root functions of the oblique derivative problem

DOI10.1134/S1064562418060030zbMath1406.35109OpenAlexW2900345416MaRDI QIDQ1709841

A. B. Kostin, V. B. Sherstyukov

Publication date: 15 January 2019

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

Full work available at URL: https://doi.org/10.1134/s1064562418060030

zbMATH Keywords

eigenfunctionsspectral problemLaplace operator on the disk

Mathematics Subject Classification ID

Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (2)

Basis property of the system of root functions of the oblique derivative problem for the Laplace operator in a disk ⋮ Pulsating and Rotating Spirals in a Delayed Feedback Diffractive Nonlinear Optical System

Cites Work

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• On the basis property of root vectors of a perturbed self-adjoint operator
• On series with respect to root vectors of operators associated with forms having symmetric principal part
• On the eigenfunctions and on the eigenvalues of general elliptic boundary value problems
• On the Completeness of Dini's Series

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