Documentation

LeanPool.CaffarelliKohnNirenberg.Leray.RegularisedBesselShiftedStokesNorm

Abel bound for the shifted complete Sobolev Stokes integral #

The complete Sobolev Stokes integral has the same square-root time factor as its physical L² counterpart.

theorem CKN.Leray.regularisedBesselShiftedStokesIntegral_norm_le (k : ℕ) (F : ℝ → BesselPotentialSpace Foundation.Parabolic.L2Vec3 ComplexTensor3 (↑(2 * k)) 2) (C : ℝ) (hFC : ∀ (s : ℝ), ‖F s‖ ≤ C) (hC : 0 ≤ C) (T t : ℝ) (hT : 0 ≤ T) :

A uniform complete tensor bound gives a square-root bound for the shifted complete Sobolev Stokes integral.