NAVIER-STOKES EQUATIONS IN BESOV SPACE B<sup>-s</sup><sub>∞</sub><sub>,</sub><sub>∞</sub>(ℝ<sup>n</sup><sub>+</sub>)
NAVIER-STOKES EQUATIONS IN BESOV SPACE B<sup>-s</sup><sub>∞</sub><sub>,</sub><sub>∞</sub>(ℝ<sup>n</sup><sub>+</sub>)
In this paper we consider the Navier-Stokes equations in the half space. Our aim is to construct a mild solution for initial data in <TEX>$B^{-\alpha}_{{\infty},{\infty}}(\mathbb{R}^n_+)$</TEX>, 0 < <TEX>${\alpha}$</TEX> < 1. To do this, we derive the estimate of the Stokes flow with singular initial data in <TEX>$B^{-\alpha}_{{\infty},q}(\mathbb{R}^n_+)$</TEX>, 0 < <TEX>${\alpha}$</TEX> …