1 problem

Let $u=u(t,x)$ be a real-valued function on $\textnormal{I}\!\textnormal{R}$ satisfying … where $\mathcal{F}_x\{L_pu\}(t,\xi)=|\xi|^p\mathcal{F}_xu(t,\xi)$ and $0\leq p\leq 2$. Set…