On the solvability of nonlocal boundary value problem for the Helmholtz equation with the equality of flows at the part of the boundary and its conjugated problem

DOI10.1080/10652469.2010.483773zbMath1213.35191OpenAlexW2016221488MaRDI QIDQ3066378

E. I. Moiseev, V. E. Ambartsumyan

Publication date: 10 January 2011

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2010.483773

zbMATH Keywords

eigenfunctionsHelmholtz equationBessel functionsbasis

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) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

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Cites Work

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• Subsequences of the partial sums of a trigonometric series which are everywhere convergent to zero