Uniqueness of solutions to to Navier Stokes equation with small initial data in $L^{3,\infty}(R^3)$

Abstract

In this short note we address a problem raised in [21], concerning the uniqueness of solutions to Naiver Stokes equation with small initial data in $L^{3,\infty}(R^3)$, the Lorentz space. We prove uniqueness for such initial data.