OAI/MathematicalPhysics/DefocusingNLS/Spectrum/SpectralGaugeCoordinateEnergy.lean

GitHub source file

9 declarations, 0 contain sorry, 0 declared as axioms

Exact value energy and two-sided derivative estimates for the actual physical/gauge coordinate map.

  1. def OAI.DefocusingNLS.spectralCoordinateEnergy line 10
  2. theorem OAI.DefocusingNLS.spectralCoordinateEnergy_nonneg line 12
  3. theorem OAI.DefocusingNLS.spectralGaugeColumns_apply line 15
  4. theorem OAI.DefocusingNLS.spectralGaugeColumns_energy line 19
  5. theorem OAI.DefocusingNLS.norm_add_sq line 27
  6. theorem OAI.DefocusingNLS.spectralCoordinateEnergy_add_le line 31
  7. theorem OAI.DefocusingNLS.spectralCoordinateEnergy_sub_le line 38
  8. theorem OAI.DefocusingNLS.spectralGaugeColumns_derivative_upper line 43
  9. theorem OAI.DefocusingNLS.spectralGaugeColumns_derivative_lower line 50