Uniform asymptotics of eigenfunctions of whispering gallery type

DOI10.1007/BF01085026zbMath0495.35067MaRDI QIDQ1169616

N. Ya. Kirpichnikova

Publication date: 1982

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

Laplace operatoreigenfunctionsuniform asymptotic expansionsDirichlet and Neumann conditionswhispering gallery waves

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (2)

Asymptotics of the whispering gallery-type in the eigenproblem for the Laplacian in a domain of revolution diffeomorphic to a solid torus ⋮ Number of quasimodes of whispering gallery type

Cites Work

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• Uniform Asymptotic Expansion of the Field Scattered by a Convex Object at High Frequencies

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