The comparison's initial defect is measured from the right against the actual datum. No value or regularity of the comparison at zero is consumed.
theorem
AVenhance.Infra.Section5.RelativeError.relative_classical_initial_L2_tendsto
{b : ℝ → Homogenization.Vec 2 → Homogenization.Vec 2}
{κ : ℝ}
{g : Homogenization.Vec 2 → ℝ}
{u f : ℝ → Homogenization.Vec 2 → ℝ}
(hu : IsClassicalSol b κ f g u)
:
Filter.Tendsto (fun (s : ℝ) => √(l2NormSq fun (x : Homogenization.Vec 2) => u s x - g x)) (nhdsWithin 0 (Set.Ioi 0))
(nhds 0)
A classical solution approaches its actual datum in L2 from the right.