OAI/MathematicalPhysics/DefocusingNLS/Linear/FourierCoordinateDerivative.lean

GitHub source file

1 declarations, 0 contain sorry, 0 declared as axioms

Recovering a strong Fourier-space derivative from continuous coordinates

For the Schrödinger application the candidate derivative loses two Sobolev orders. Once that derivative is a continuous Hilbert-space curve, its coordinate identities imply the strong derivative by the fundamental theorem of calculus.

  1. theorem OAI.DefocusingNLS.hasDerivAt_fourierL2_of_coordinates line 20