OAI/MathematicalPhysics/ContinuumCoulomb/OneParticle/ResolventNumericalBounds.lean

GitHub source file

11 declarations, 0 contain sorry, 0 declared as axioms

Elementary quantitative bounds for the fixed polynomial schedule. These estimates keep all mesh choices explicit.

  1. theorem OAI.ContinuumCoulomb.ResolventSchedule.succ_le_two_pow line 12
  2. theorem OAI.ContinuumCoulomb.ResolventSchedule.taylor_precision_bound line 19
  3. theorem OAI.ContinuumCoulomb.ResolventSchedule.exp_tail_le_inverse line 36
  4. theorem OAI.ContinuumCoulomb.ResolventSchedule.mesh_fraction_bound line 40
  5. theorem OAI.ContinuumCoulomb.ResolventSchedule.spatial_constant_bound line 67
  6. theorem OAI.ContinuumCoulomb.ResolventSchedule.time_constant_bound line 78
  7. theorem OAI.ContinuumCoulomb.ResolventSchedule.scalar_error_bound line 98
  8. theorem OAI.ContinuumCoulomb.ResolventSchedule.argument_endpoint line 130
  9. theorem OAI.ContinuumCoulomb.ResolventSchedule.argument_start_positive line 141
  10. theorem OAI.ContinuumCoulomb.ResolventSchedule.argument_step_nonnegative line 147
  11. theorem OAI.ContinuumCoulomb.ResolventSchedule.magnitude_bound line 156