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

preprint2014arXivOpen access

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.

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

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Uniqueness of solutions to to Navier Stokes equation with small initial data in L3,∞(R3)L^{3,\infty}(R^3)L3,∞(R3)

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