Restriction of integral flatness #
Integral vanishing of every order persists when the allowed spatial radius
or time length is shortened in lem:uc-gaussian.
theorem
ESS.uc_integral_flatness_mono
(x₀ : CKN.Foundation.Parabolic.Vec3)
(R R' T T' : ℝ)
(hR : R' ≤ R)
(hT : T' ≤ T)
(w : CKN.Foundation.Parabolic.ParabolicPoint → CKN.Foundation.Parabolic.Vec3)
(hflat : UCIntegralFlatness x₀ R T w)
:
UCIntegralFlatness x₀ R' T' w
Integral flatness at a center remains valid on a smaller admissible
cylinder (thm:uc).