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Some remarkable R-separable coordinate systems for the Helmholtz equation

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Publication:1150807
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DOI10.1007/BF00943433zbMath0456.35020MaRDI QIDQ1150807

Willard jun. Miller, Ernest G. Kalnins

Publication date: 1980

Published in: Letters in Mathematical Physics (Search for Journal in Brave)


zbMATH Keywords

Laplace-Beltrami operatorHelmholtz equationR-separable coordinate systems


Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Other special methods applied to PDEs (35A25)


Related Items (2)

The general theory of R-separation for Helmholtz equations ⋮ R-separation for the Hamilton-Jacobi equation



Cites Work

  • Separable coordinates for four-dimensional Riemannian spaces
  • Separable systems of Stäckel
  • Lie theory and separation of variables. 9. Orthogonal R-separable coordinate systems for the wave equation ψt t−Δ2ψ=0


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