2 problems

Global well-posedness and scattering conjecture. For every $E\in(0,\infty)$ and every smooth initial datum $\vec{u}_0$ with $E_{ls}(\vec{u}_0)\leq E$, there exists a global solutio…

Global spacetime bound conjecture. Any initial data $\vec u_0$ of finite $E_{ls}$ energy leads to a global solution of the quintic resonant system satisfying