OAI/MathematicalPhysics/DefocusingNLS/Spectrum/SpectralCouplingEstimate.lean

GitHub source file

6 declarations, 0 contain sorry, 0 declared as axioms

The two-channel perturbation has small Green norm when the scalar shell frequencies are large. The coefficient decay is exactly the exterior r⁻² decay.

  1. def OAI.DefocusingNLS.spectralShellPairNorm line 12
  2. theorem OAI.DefocusingNLS.spectralShellPairNorm_nonneg line 15
  3. theorem OAI.DefocusingNLS.spectralShellPairNorm_values line 19
  4. theorem OAI.DefocusingNLS.spectralShellCoupling_norm line 33
  5. theorem OAI.DefocusingNLS.spectral_inverse_square_integral line 47
  6. theorem OAI.DefocusingNLS.spectral_inverse_square_integral_le line 61