OAI/MathematicalPhysics/DefocusingNLS/Spectrum/SpectralShellNorm.lean

GitHub source file

8 declarations, 0 contain sorry, 0 declared as axioms

The scaled value/derivative norm in the fixed-shell transfer estimate. Here k is the square root of the regularized frequency magnitude.

  1. def OAI.DefocusingNLS.spectralShellNorm line 10
  2. theorem OAI.DefocusingNLS.spectralShellNorm_nonneg line 13
  3. theorem OAI.DefocusingNLS.spectralShellNorm_smul line 18
  4. theorem OAI.DefocusingNLS.spectralShellNorm_add_le line 23
  5. theorem OAI.DefocusingNLS.spectralShellNorm_value line 32
  6. theorem OAI.DefocusingNLS.spectralShellNorm_slope line 38
  7. theorem OAI.DefocusingNLS.spectralShellNorm_zero line 45
  8. theorem OAI.DefocusingNLS.spectralShellNorm_eq_zero line 48