OAI/MathematicalPhysics/DefocusingNLS/Linear/HomogeneousLinearizedCompact.lean

GitHub source file

4 declarations, 0 contain sorry, 0 declared as axioms

Compact low-order part of the actual linearized potential

The two coefficients of the odd-power derivative are actual vectors in Y. Their physical formulas identify the algebraic decomposition, so the low-order compactness theorem applies directly to the Schrödinger potential.

  1. def OAI.DefocusingNLS.homogeneousLinearizedFirstCoefficient line 18
  2. def OAI.DefocusingNLS.homogeneousLinearizedSecondCoefficient line 25
  3. theorem OAI.DefocusingNLS.homogeneousLinearizedPotential_decomposition line 31
  4. theorem OAI.DefocusingNLS.tendsto_homogeneousLowEnergy_linearizedPotential line 51