2 problems

Let $d\geq 1$, let $2<p<\infty$, let $0<T<\infty$, and let $u$ solve the Hermite wave equation … with $u(0)=u_0$ and $\dot u(0)=0$. The local smoothing conjecture for the Hermite w…

Hermite spectral projection estimate. For $(1/p,1/q)\in {\mathlarger{\square}}$, the estimate