equation 10.24 eq:pde-poisson-equation

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Supports

• depends_on definition 10.66 Harmonic function ¶
  • depends_on theorem A.135 Converse of the mean-value property ¶
    • depends_on corollary A.146 Locally uniform limits of harmonic functions ¶
    • depends_on corollary A.145 Harmonic functions are smooth ¶
  • depends_on theorem A.491 Dirichlet problem for the disc; quoted ¶
  • depends_on theorem 10.69 Mean-value property ¶
    • depends_on corollary A.145 Harmonic functions are smooth ¶ ↺
    • depends_on theorem A.135 Converse of the mean-value property ¶ ↺
    • depends_on theorem 10.77 Strong maximum principle for harmonic functions ¶
  • depends_on theorem 10.75 Weak maximum principle ¶
    • depends_on corollary 10.76 Uniqueness and stability for the Dirichlet problem ¶
    • depends_on theorem A.525 Helmholtz decomposition: uniqueness ¶
      • depends_on remark A.527 The hypotheses, and what happens without them ¶
    • depends_on theorem 10.80 Parabolic maximum principle ¶
      • depends_on corollary 10.81 Uniqueness for the heat equation ¶
      • depends_on proposition A.163 The viscous problem produces the entropy inequality ¶
• depends_on proposition 31.28 Potential flow reduces to Laplace's equation ¶
  • depends_on example 31.29 Flow past a sphere ¶
  • depends_on lemma A.777 The tangential field above a bending plate ¶
    • depends_on corollary A.778 The powder collects at the antinodes ¶
  • depends_on lemma A.733 The circle with incidence and circulation ¶
    • depends_on lemma A.735 Transfer of the flow ¶
      • depends_on theorem A.737 The lift-curve slope of the flat plate ¶
  • depends_on proposition A.797 The outer limit loses a boundary condition ¶
  • depends_on proposition 31.70 The lift-curve slope of a thin aerofoil ¶
  • depends_on theorem A.707 D'Alembert's paradox ¶
  • depends_on theorem 31.74 The interface dispersion relation ¶
    • depends_on corollary 31.76 Kelvin–Helmholtz instability ¶
    • depends_on corollary 31.75 Rayleigh–Taylor instability ¶
    • depends_on theorem 31.94 Gravity–capillary waves on a free surface ¶
      • depends_on phenomenon 31.96 The solitary wave ¶
      • depends_on phenomenon 31.95 The observed dispersion of water waves ¶