On a weighted boundary-value problem in an infinite half-strip for a biaxisymmetric Helmholtz equation

DOI10.3103/S1066369X13060017zbMath1304.35664MaRDI QIDQ384588

A. A. Abashkin

Publication date: 28 November 2013

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

zbMATH Keywords

Hankel transformHelmholtz equationBessel functionsFourier-Bessel series

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (3)

Dirichlet problem in parallelepiped for elliptic equation with three singular coefficients ⋮ A problem with mixed boundary conditions for a singular elliptic equation in an infinite domain ⋮ Boundary value problems in a semi-infinite parallelepiped for an elliptic equation with three singular coefficients

Cites Work

• Unnamed Item
• Nonlocal boundary value problems in a vertical half-strip for a generalized axisymmetric Helmholtz equation
• Solvability of a nonlocal boundary value problem

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