no code implementations • 24 Dec 2020 • Weikui Ye, Zhaoyang Yin, Wei Luo
Combining \cite{wbx, ns7, ns2}, we deduce that $\dot{B}^{\frac{d}{p}-1}_{p,\infty}$ with $1\leq p<\infty$ is the critical space which solutions are ill-posedness, while $u\in\dot{B}^{\frac{d}{p}-1}_{p, r}$ with $1\leq r, p<\infty$ are well-poseness.
Analysis of PDEs