问题

Questions in category: 泛函分析 (Functional Analysis).

证明 $‖ u ‖_{L^{\infty} (R)} ⩽ C \cdot ‖ u ‖_{L^{2} (R)}^{\frac{1}{2}} \cdot ‖ u_{x} ‖_{L^{2} (R)}^{\frac{1}{2}}$

Posted by haifeng on 2020-03-12 15:15:02 last update 2020-03-12 16:20:46 | Answers (0) | 收藏

证明

$‖ u ‖_{L^{\infty} (R)} ⩽ C \cdot ‖ u ‖_{L^{2} (R)}^{\frac{1}{2}} \cdot ‖ u_{x} ‖_{L^{2} (R)}^{\frac{1}{2}}$

Remark:

题目来源于“基础数学研究群”