OAI/MathematicalPhysics/DefocusingNLS/Spectrum/SpectralLiouvilleWeightedEnergy.lean

GitHub source file

5 declarations, 0 contain sorry, 0 declared as axioms

The vanishing scaled Liouville Cauchy data control the frequency-weighted physical boundary energy, with constants depending only on the fixed radius.

  1. def OAI.DefocusingNLS.spectralWeightedCauchyEnergy line 11
  2. theorem OAI.DefocusingNLS.spectralWeightedCauchyEnergy_nonneg line 14
  3. theorem OAI.DefocusingNLS.spectralLiouvilleState_inverse_weighted_energy line 19
  4. theorem OAI.DefocusingNLS.spectralPhysicalLiouvillePair_inverse_weighted_energy line 41
  5. theorem OAI.DefocusingNLS.spectralPhysicalLiouvillePair_weighted_energy_limit line 53