On the Liouville theorem for the Navier-Stokes and the Euler equations in ${\mathbb{R}}^N$

Abstract

This paper has been withdrawn by the author due to the fact that the negative sign of the exponent of $R$ in (2.20) is not allowed by the second inequality of (2.2), and thus the desired vanishing in (2.20) could not be obtained by this method.

19 pages