Resonances and standing waves

DOI10.1002/mma.1670090110zbMath0639.35045OpenAlexW2085536303MaRDI QIDQ3781476

Klaus Morgenröther, Peter Werner

Publication date: 1987

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1670090110

zbMATH Keywords

wave equationwaveguidesresonancesseparation of variablesstanding wavesspectral resolutionlocal perturbationsNonexistenceHelmholtz' equationprinciple of limiting amplitude

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Scattering theory for PDEs (35P25) Wave equation (35L05) Series solutions to PDEs (35C10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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Cites Work

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• Regularity properties of the Laplace operator with respect to electric and magnetic boundary conditions
• Resonance phenomena in cylindrical waveguides
• Aperiodic electromagnetic waves in cylindrical waveguides
• Über das asymptotische Verhalten der Lösungen von \(\Delta u+\lambda u=0\) in unendlichen Gebieten
• Ein resonanzphänomen in der theorie akustischer und elektromagnetischer wellen
• Akustische wellen in Gebieten, die von zwei lokal gestorten parallelen ebenen begrenzt sind
• Zur Asymptotik der wellengleichung und der wärmeleitungsgleichung in zweidimensionalen außenräumen
• The principle of limiting absorption

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