OAI/MathematicalPhysics/DefocusingNLS/Linear/HomogeneousFiniteRankStep.lean

GitHub source file

3 declarations, 0 contain sorry, 0 declared as axioms

Finite-rank decomposition of a contracting time step

Orthogonal projection onto finitely many vectors turns the proved weak-null bound into an operator-norm contraction with a finite-rank remainder.

  1. theorem OAI.DefocusingNLS.homogeneousOperator_isCompact_of_finiteRange line 18
  2. theorem OAI.DefocusingNLS.homogeneousOperator_finiteRank_bound line 29
  3. theorem OAI.DefocusingNLS.homogeneousOperator_finiteRank_contraction line 88