OAI/Analysis/NodalLength/Cutoffs.lean

GitHub source file

18 declarations, 0 contain sorry, 0 declared as axioms

  1. lemma OAI.SharpNodal.Carleman.smooth_cutoff_mul line 15
  2. lemma OAI.SharpNodal.Carleman.exists_smooth_cutoff line 26
  3. lemma OAI.SharpNodal.Carleman.partial_eventuallyEq line 42
  4. lemma OAI.SharpNodal.Carleman.laplacian_eventuallyEq line 47
  5. lemma OAI.SharpNodal.Carleman.gradient_eq_of_eventuallyEq line 54
  6. lemma OAI.SharpNodal.Carleman.young_pairing line 59
  7. lemma OAI.SharpNodal.Carleman.weighted_energy_component line 71
  8. lemma OAI.SharpNodal.Carleman.weighted_energy_identity line 95
  9. theorem OAI.SharpNodal.Carleman.caccioppoli line 107
  10. theorem OAI.SharpNodal.Carleman.local_carleman_on line 139
  11. lemma OAI.SharpNodal.Carleman.l2sq_cutoff_comparison line 208
  12. theorem OAI.SharpNodal.Carleman.exponential_caccioppoli line 220
  13. lemma OAI.SharpNodal.Carleman.partial2_mul line 269
  14. lemma OAI.SharpNodal.Carleman.laplacian_mul line 280
  15. lemma OAI.SharpNodal.Carleman.cutoff_residual line 287
  16. lemma OAI.SharpNodal.Carleman.weighted_cutoff_residual line 298
  17. lemma OAI.SharpNodal.Carleman.cutoff_prefactor_bound line 349
  18. lemma OAI.SharpNodal.Carleman.cancel_carleman_frequency line 363