OAI/MathematicalPhysics/DefocusingNLS/Linear/HomogeneousPolynomialHarmonic.lean

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7 declarations, 0 contain sorry, 0 declared as axioms

Degree-zero extensions of homogeneous harmonic polynomials

The ambient Laplacian of the extension is the spherical eigenvalue -ell * (ell + 10) / r². This supplies actual angular tests rather than an assumed complete family of spherical harmonics.

  1. def OAI.DefocusingNLS.physicalHarmonicExtension line 21
  2. theorem OAI.DefocusingNLS.physicalRadiusPower_neg_nat_half line 25
  3. theorem OAI.DefocusingNLS.physicalHarmonicExtension_eq_div line 34
  4. theorem OAI.DefocusingNLS.physicalHarmonicExtension_contDiffAt line 40
  5. theorem OAI.DefocusingNLS.physicalHarmonicExtension_ray line 45
  6. theorem OAI.DefocusingNLS.physicalHarmonicExtension_sphere line 53
  7. theorem OAI.DefocusingNLS.physicalHarmonicExtension_laplacian line 60