OAI/MathematicalPhysics/DefocusingNLS/Spectrum/SpectralShellPositiveForm.lean

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4 declarations, 0 contain sorry, 0 declared as axioms

The defocusing coefficient matrix remains nonnegative after the two Liouville phase changes. This is the interior sign used for high angular modes.

  1. theorem OAI.DefocusingNLS.spectralDiagonalCoefficient_real line 10
  2. theorem OAI.DefocusingNLS.real_diagonal_form line 20
  3. theorem OAI.DefocusingNLS.positive_pair line 27
  4. theorem OAI.DefocusingNLS.spectralShellForcing_nonnegative line 41