OAI/MathematicalPhysics/ContinuumCoulomb/OneParticle/ManufacturedWeakResidual.lean

GitHub source file

9 declarations, 0 contain sorry, 0 declared as axioms

The differential residual is an actual weak-H1 kinetic/potential pairing identity. This is the bridge used for the off-diagonal form bound.

  1. def OAI.ContinuumCoulomb.oneElectronLocalizedMode line 16
  2. theorem OAI.ContinuumCoulomb.oneElectronLocalizedMode_C2 line 19
  3. theorem OAI.ContinuumCoulomb.oneElectronLocalizedMode_memLp line 23
  4. theorem OAI.ContinuumCoulomb.oneElectronLocalizedMode_partial line 27
  5. theorem OAI.ContinuumCoulomb.oneElectronLocalizedMode_partial_memLp line 36
  6. theorem OAI.ContinuumCoulomb.oneElectronLocalizedMode_laplacian line 47
  7. theorem OAI.ContinuumCoulomb.manufactured_mode_product_memLp line 52
  8. theorem OAI.ContinuumCoulomb.oneElectronLocalizedMode_laplacian_memLp line 67
  9. theorem OAI.ContinuumCoulomb.manufacturedOrbitalResidual_weak_identity line 92