Truncating the real shifted Stokes integral #
The translated real Stokes integrand vanishes after its observation time, so later integration limits give the same value.
theorem
CKN.Leray.mildShiftedStokesIntegral_truncate
(F : ℝ → ↥RealTensorL2)
(T t : ℝ)
(ht : 0 ≤ t)
(htT : t ≤ T)
(hInt : IntervalIntegrable (mildShiftedStokesIntegrand F t) MeasureTheory.volume 0 T)
:
A shifted real Stokes integral only uses elapsed times before its observation time.