$$\bex \p_3\bbu\in L^p(0,T;L^q(\bbR^3)),\quad \frac{2}{p}+\frac{3}{q}=\frac{3}{2},\quad 2\leq q\leq \infty. \eex$$
[Papers]NSE, $\p_3u$, Lebesgue space [Penel-Pokorny, AM, 2004]
2015-01-19
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简介：
$$\bex \p_3\bbu\in L^p(0,T;L^q(\bbR^3)),\quad \frac{2}{p}+\frac{3}{q}=\frac{3}{2},\quad 2\leq q\leq \infty. \eex$$
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[Papers]NSE, $u$, Lorentz space [Sohr, JEE, 2001]
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