OAI/MathematicalPhysics/Boltzmann/Approximation/ResolventAverageBound.lean

GitHub source file

14 declarations, 0 contain sorry, 0 declared as axioms

The damped resolvent's free flight preserves kinetic Lebesgue measure

  1. def OAI.BoltzmannNonuniqueness.Published.resolventBack line 16
  2. def OAI.BoltzmannNonuniqueness.Published.resolventBackEquiv line 19
  3. theorem OAI.BoltzmannNonuniqueness.Published.resolventBack_measurePreserving line 37
  4. theorem OAI.BoltzmannNonuniqueness.Published.lintegral_resolventBack line 50
  5. def OAI.BoltzmannNonuniqueness.Published.nonnegativeResolvent line 69
  6. theorem OAI.BoltzmannNonuniqueness.Published.lintegral_exp_neg_one line 72
  7. theorem OAI.BoltzmannNonuniqueness.Published.nonnegativeResolvent_measurable line 78
  8. theorem OAI.BoltzmannNonuniqueness.Published.lintegral_nonnegativeResolvent line 88
  9. theorem OAI.BoltzmannNonuniqueness.EuclideanFlight.resolvent_representation line 124
  10. theorem OAI.BoltzmannNonuniqueness.Published.transportResolvent_enorm_le line 162
  11. theorem OAI.BoltzmannNonuniqueness.Published.lintegral_transportResolvent_enorm_le line 176
  12. theorem OAI.BoltzmannNonuniqueness.Published.transportResolvent_integrable line 198
  13. theorem OAI.BoltzmannNonuniqueness.Published.resolventAverage_enorm_le line 203
  14. theorem OAI.BoltzmannNonuniqueness.Published.lintegral_resolventAverage_enorm_le line 218