Abstract
We show that the approximating solutions {uj}j=0∞ of the Navier-Stokes equations constructed by Kato [7] with the initial data u(0)∈Lσn(Rn) converge to the local strong solution u in the topology of W2,n(Rn) provided the convergence in the scaling invariant norm in Lp(Rn) with the time weight holds.
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