OAI/Analysis/HenonEmden/LayerRecovery.lean

GitHub source file

4 declarations, 0 contain sorry, 0 declared as axioms

  1. lemma OAI.HenonLaneEmden.WeightedLayers.source_root line 9
  2. lemma OAI.HenonLaneEmden.WeightedLayers.weighted_layer_identity line 15
  3. lemma OAI.HenonLaneEmden.WeightedLayers.layer_root_bounds line 41
  4. lemma OAI.HenonLaneEmden.WeightedLayers.pressure_recovery_pointwise line 53

    Source documentation

    The exact scalar recovery inequality before integration.

    lemma pressure_recovery_pointwise {h χ u τ endpoint error : ℝ}
        (hχ : 0 ≤ χ) (hχh : χ ≤ h) (hτ : 0 ≤ τ)
        (hend : |endpoint-τ| ≤ error*u) :
        h*(u-τ)-χ*(u-endpoint) ≤ (h-χ)*u+error*h*u := by
    …