On the possible application of group representations to some boundary value and eigenvalue problems of certain domains without classical symmetry. I: Domains \(D_N\) of the first type

DOI10.1007/BF01591166zbMath0363.35005MaRDI QIDQ1240364

Sang-Lung Chan

Publication date: 1976

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Applications of group representations to physics and other areas of science (20C35)

Related Items (5)

Symmetrizing grids, radial basis functions, and Chebyshev and Zernike polynomials for the \(D_4\) symmetry group; interpolation within a squircle. I ⋮ On the possible application of group representations to some boundary value and eigenvalue problems of certain domains without classical symmetry. II: Domains \(S_N\) of the second type and \(S_{N+(1/2)}\) of the third type ⋮ On linear mechanical boundary- and eigenvalue problems with symmetries ⋮ On the possible application of group representations to some boundary value and eigenvalue problems of certain domains without classical symmetry. III: Some examples ⋮ Membranes symétriques d'egale frequence fondamentale

Cites Work

• Sur les fonctions propres de membranes vibrantes couvrant un secteur symétrique de polygone régulier ou de domaine périodique
• Erweiterte Symmetrieeigenschaften von Lösungen gewisser linearer Rand- und Eigenwertprobleme.
• Two applications of group characters to the solution of boundary-value problems

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