OAI/MathematicalPhysics/DefocusingNLS/Linear/ExpandingSmoothCutoff.lean

GitHub source file

8 declarations, 0 contain sorry, 0 declared as axioms

Smooth frequency splitting with the actual commutator remainder bound

  1. def OAI.DefocusingNLS.expandingSmoothLow line 15
  2. theorem OAI.DefocusingNLS.expandingSmoothLow_apply line 20
  3. def OAI.DefocusingNLS.expandingSmoothHigh line 24
  4. theorem OAI.DefocusingNLS.expandingSmoothHigh_apply line 27
  5. theorem OAI.DefocusingNLS.expandingSmoothHigh_norm_le line 34
  6. theorem OAI.DefocusingNLS.expandingSmoothHigh_low_zero line 41
  7. theorem OAI.DefocusingNLS.expandingSmoothLow_eq_convolution line 50
  8. theorem OAI.DefocusingNLS.exists_torusOddCommutator_smooth_remainder line 56