Basis property of the system of root functions of the oblique derivative problem for the Laplace operator in a disk

DOI10.1134/S0012266119100100zbMath1435.35133OpenAlexW2985112699WikidataQ126799983 ScholiaQ126799983MaRDI QIDQ2304406

V. B. Sherstyukov, A. B. Kostin

Publication date: 11 March 2020

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

Full work available at URL: https://doi.org/10.1134/s0012266119100100

zbMATH Keywords

eigenfunctionsLaplace operator in 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)

Cites Work

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• On the basis property of root vectors of a perturbed self-adjoint operator
• Basis property of eigenfunctions of a problem on antiplanar vibrations of a cylinder with external friction
• The basis property of the system of root functions of the oblique derivative problem
• On series with respect to root vectors of operators associated with forms having symmetric principal part
• Perturbations of self-adjoint and normal operators with discrete spectrum
• On the eigenfunctions and on the eigenvalues of general elliptic boundary value problems
• On the Completeness of Dini's Series
• The Rayleigh function: Theory and methods for its calculation
• Overview of some new results concerning the theory and applications of the Rayleigh special function

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