equation 10.25 eq:pde-helmholtz-equation

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• depends_on definition A.116 Orthogonal curvilinear coordinates; scale factors ¶
  • depends_on definition A.125 Ellipsoidal coordinates ¶
    • depends_on lemma A.126 Cartesian coordinates and scale factors ¶
      • depends_on proposition A.128 The ellipsoidal system separates ¶
        • depends_on proposition A.132 The count ¶
  • depends_on definition A.118 Simple separation of the Helmholtz equation ¶
    • depends_on theorem A.120 Stäckel and Robertson conditions ¶
      • depends_on example A.122 Cartesian ¶
      • depends_on example A.123 Circular cylindrical ¶
      • depends_on example A.124 Spherical ¶
      • depends_on proposition A.128 The ellipsoidal system separates ¶ ↺
  • depends_on lemma A.117 Laplacian in orthogonal coordinates ¶
    • depends_on theorem A.120 Stäckel and Robertson conditions ¶ ↺
• depends_on definition 23.39 Eikonal ¶
  • depends_on theorem 23.40 Eikonal and transport equations ¶
    • depends_on proposition 23.41 Rays ¶
    • depends_on remark 23.45 Why this is not an analogy ¶
• depends_on proposition 10.29 Time separation reduces the canonical equations to Helmholtz ¶
  • depends_on example 10.38 The vibrating string ¶
  • depends_on phenomenon 28.53 Chladni's figures ¶
  • depends_on theorem 10.36 Solution of the heat problem on an interval ¶
• depends_on theorem 10.34 Separable systems for the Helmholtz operator ¶
  • depends_on remark 23.19 The same conditions govern the Helmholtz equation ¶