OAI/Geometry/NearbyLagrangian/Evolution.lean

GitHub source file

17 declarations, 0 contain sorry, 0 declared as axioms

Smooth nonautonomous evolution, uniqueness and compact support.

  1. def OAI.NearbyLagrangian.SmoothFlow.flowDiffeomorph line 17
  2. theorem OAI.NearbyLagrangian.SmoothFlow.exists_smooth_completeFlow_compact line 26
  3. def OAI.NearbyLagrangian.SmoothFlow.timeLift line 34
  4. lemma OAI.NearbyLagrangian.SmoothFlow.timeLift_lipschitz line 37
  5. lemma OAI.NearbyLagrangian.SmoothFlow.timeLift_bound line 44
  6. lemma OAI.NearbyLagrangian.SmoothFlow.lifted_time line 51
  7. def OAI.NearbyLagrangian.SmoothFlow.evolution line 62
  8. lemma OAI.NearbyLagrangian.SmoothFlow.evolution_initial line 66
  9. lemma OAI.NearbyLagrangian.SmoothFlow.evolution_derivative line 71
  10. lemma OAI.NearbyLagrangian.SmoothFlow.evolution_cocycle line 88
  11. lemma OAI.NearbyLagrangian.SmoothFlow.contDiff_evolution line 102
  12. def OAI.NearbyLagrangian.SmoothFlow.evolutionDiffeomorph line 108
  13. theorem OAI.NearbyLagrangian.SmoothFlow.exists_smooth_evolution line 124
  14. lemma OAI.NearbyLagrangian.SmoothFlow.field_lipschitz_spatial line 138
  15. lemma OAI.NearbyLagrangian.SmoothFlow.evolution_unique line 142
  16. lemma OAI.NearbyLagrangian.SmoothFlow.evolution_fixed line 153
  17. lemma OAI.NearbyLagrangian.SmoothFlow.evolution_support line 161