OAI/MathematicalPhysics/ContinuumCoulomb/OneParticle/WellCapDerivatives.lean

GitHub source file

16 declarations, 0 contain sorry, 0 declared as axioms

Uniform quantitative bounds on the two derivatives of the rational cap.

  1. theorem OAI.ContinuumCoulomb.cap_local_zero line 12
  2. theorem OAI.ContinuumCoulomb.cap_local_one line 17
  3. theorem OAI.ContinuumCoulomb.cap_local_middle line 22
  4. theorem OAI.ContinuumCoulomb.wellCap_deriv_zero_left line 29
  5. theorem OAI.ContinuumCoulomb.wellCap_deriv_zero_right line 41
  6. theorem OAI.ContinuumCoulomb.middle_hasDerivAt line 53
  7. theorem OAI.ContinuumCoulomb.middlePrime_hasDerivAt line 61
  8. theorem OAI.ContinuumCoulomb.wellCap_deriv_inside line 69
  9. theorem OAI.ContinuumCoulomb.wellCap_deriv_bounds line 74
  10. theorem OAI.ContinuumCoulomb.wellCap_deriv2_zero_left line 91
  11. theorem OAI.ContinuumCoulomb.wellCap_deriv2_zero_right line 104
  12. theorem OAI.ContinuumCoulomb.wellCap_deriv2_inside line 117
  13. theorem OAI.ContinuumCoulomb.wellCap_deriv2_bound line 128
  14. theorem OAI.ContinuumCoulomb.wellCap_lipschitz line 144
  15. theorem OAI.ContinuumCoulomb.wellCap_deriv_lipschitz line 152
  16. theorem OAI.ContinuumCoulomb.radial_wellCap_difference line 159