OAI/MathematicalPhysics/DefocusingNLS/Linear/HomogeneousAnnulusScaling.lean

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Symbol estimates after normalization of a physical annulus

These estimates use the actual decay order 2 * a of the profile. The scale factors cancel in every derivative, before applying a fixed annular cutoff.

  1. def OAI.DefocusingNLS.normalizedPhysicalProfile line 18
  2. theorem OAI.DefocusingNLS.normalizedPhysicalProfile_contDiff line 21
  3. theorem OAI.DefocusingNLS.normalizedPhysicalProfile_jet_norm line 27
  4. theorem OAI.DefocusingNLS.normalizedPhysicalProfile_symbol_bound line 40
  5. theorem OAI.DefocusingNLS.normalizedPhysicalProfile_annulus_bound line 65