scientific article

zbMath1319.35116MaRDI QIDQ2880317

Brian J. McCartin

Publication date: 13 April 2012

Full work available at URL: http://www.m-hikari.com/mccartin-3.pdf

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zbMATH Keywords

Dirichlet problemabsorbing boundary conditionequilateral triangleLaplacian eigenvaluesNeumann problemimpedance boundary conditionpolygonal domainsRobin problemSturm-Liouville boundary value problemradiation boundary conditioncylindrical waveguidesLaplacian eigenvectorsnon-selfadjoint boundary value problemEisenstein primesmodal degeneracytrigonometric eigenfunctions

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Sturm-Liouville theory (34B24) General spectral theory of ordinary differential operators (34L05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Antennas, waveguides in optics and electromagnetic theory (78A50) History of ordinary differential equations (34-03) Spectral theory and eigenvalue problems for partial differential equations (35Pxx) History of partial differential equations (35-03) Partial differential equations of mathematical physics and other areas of application (35Qxx)

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