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Reflection groups and the eigenvalue problems of vibrating membranes with mixed boundary conditions

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Publication:801469
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DOI10.2748/tmj/1178228845zbMath0552.35014OpenAlexW2069589038MaRDI QIDQ801469

Hajime Urakawa

Publication date: 1984

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178228845


zbMATH Keywords

constant curvaturemixed boundary conditionsspace formreflection groupsnegative Laplacianboundary value eigenvalue problemsvibrating membranes


Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)




Cites Work

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  • Spectres et groupes cristallographiques. II: Domaines sphériques. (Spectra and crystallographic groups. II: Spherical domains)
  • Orthogonality Catastrophe for a System of Interacting Electrons
  • Bounded domains which are isospectral but not congruent
  • Can One Hear the Shape of a Drum?




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