OAI/MathematicalPhysics/DefocusingNLS/Linear/HomogeneousInteractionPicture.lean

GitHub source file

6 declarations, 0 contain sorry, 0 declared as axioms

Differentiation in the free interaction picture

Removing the exact free group from a forced mild trajectory leaves the ordinary integral of the transported source. Its derivative exists in Y for continuous forcing, without additional spatial regularity.

  1. def OAI.DefocusingNLS.homogeneousForcedTrajectory line 19
  2. theorem OAI.DefocusingNLS.continuous_homogeneousForcedTrajectory line 24
  3. theorem OAI.DefocusingNLS.homogeneousForcedTrajectory_zero line 32
  4. theorem OAI.DefocusingNLS.homogeneousDuhamel_pullback line 38
  5. theorem OAI.DefocusingNLS.homogeneousForcedTrajectory_pullback line 54
  6. theorem OAI.DefocusingNLS.hasDerivAt_homogeneousForcedTrajectory_pullback line 63