The Navier-Stokes equations in the weak- $L^n$ space with time-dependent external force

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Lp-Lq Estimate of the Stokes Operator and Navier–Stokes Flows in the Exterior of a Rotating Obstacle (2009, methodology): “Once getting the assertion (2) of Theorem 1.1, by using the Yamazaki method [ 60 ]( cf. alsoShibata [53]) we have Theorem 1.3.”
A class of solutions to stationary Stokes and Navier-Stokes equations with boundary data in W−1/q,q (2005, background): “have considered this type of solutions (and also “mild” solutions), typically for the Cauchy problem; see e.g., [20], [6], [ 29 ].”
Chapter 3 - Harmonic Analysis Tools for Solving the Incompressible Navier–Stokes Equations (2005, background): “Yamazaki’s results [129, 130, 227]), always with the aim of proving the existence of forward self-similar solutions [4], but he did not achieve the bicontinuity of the bilinear operator in this space.”
On the uniqueness of time-periodic solutions to the Navier–Stokes equations in unbounded domains (2009, background): “With respect to 3-dimensional exterior domains without any symmetry conditions, there are three noteworthy results given by Salvi [33], Yamazaki [41] and Galdi-Sohr [10].”