2 problems

Norm-inflation conjecture. There exists $s_0\in\mathbb N$ such that, for every $s\ge s_0$, there is an open and dense set $J^{\mathrm{EVE}}_s\subset(0,+\infty)$ with the property t…

Let $u=u(t,x)$ solve the derivative nonlinear Schrödinger equation on $\mathbb{R}$, … For $s\in\mathbb{R}$, let $H^s(\mathbb{R})$ denote the Sobolev space of regularity $s$. DNLS w…