Localization of Laplacian Eigenfunctions in Circular, Spherical, and Elliptical Domains

DOI10.1137/120869857zbMath1432.35153arXiv1203.5022OpenAlexW2035690811MaRDI QIDQ2841001

Denis S. Grebenkov, Binh T. Nguyen

Publication date: 24 July 2013

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.5022

zbMATH Keywords

diffusionLaplace operatorlocalizationLaplacian eigenfunctionsBessel and Mathieu functions

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Lamé, Mathieu, and spheroidal wave functions (33E10)

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