The uniqueness and existence of solutions for the 3-D Helmholtz equation in a cylindrically symmetric waveguide with unbounded perturbation

DOI10.1016/J.JMAA.2012.11.045zbMath1308.35067OpenAlexW1995370915MaRDI QIDQ1936218

Publication date: 21 February 2013

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.11.045

zbMATH Keywords

Green's function existence of solutions uniqueness of solutions Helmholtz equation radiation condition unbounded perturbation cylindrically symmetric waveguide

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Green's functions for elliptic equations (35J08) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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