OAI/MathematicalPhysics/Boltzmann/Branching/TruncatedExponential.lean

GitHub source file

13 declarations, 0 contain sorry, 0 declared as axioms

Recovering the half-Gaussian moment from bounded velocity weights

  1. def OAI.BoltzmannNonuniqueness.VelocityMoment.truncatedWeight line 18
  2. theorem OAI.BoltzmannNonuniqueness.VelocityMoment.truncatedWeight_measurable line 20
  3. theorem OAI.BoltzmannNonuniqueness.VelocityMoment.truncatedWeight_nonneg line 24
  4. theorem OAI.BoltzmannNonuniqueness.VelocityMoment.truncatedWeight_abs_le line 27
  5. theorem OAI.BoltzmannNonuniqueness.VelocityMoment.truncatedMoment_integrable line 31
  6. theorem OAI.BoltzmannNonuniqueness.VelocityMoment.truncatedMoment_le line 36
  7. theorem OAI.BoltzmannNonuniqueness.VelocityMoment.moment_le_of_truncated line 47
  8. def OAI.BoltzmannNonuniqueness.WeakTime.slabExponential line 90
  9. theorem OAI.BoltzmannNonuniqueness.WeakTime.slabExponential_measurable line 93
  10. theorem OAI.BoltzmannNonuniqueness.WeakTime.slabExponential_nonneg line 96
  11. theorem OAI.BoltzmannNonuniqueness.WeakTime.slabExponential_bound line 99
  12. theorem OAI.BoltzmannNonuniqueness.WeakTime.slabExponential_test line 107
  13. theorem OAI.BoltzmannNonuniqueness.WeakTime.slabExponential_test_derivative line 115