3 problems

Let $\mathcal{D}^{\mathrm{par}}$ be a compactification of Minkowski space, let $W^{\mathrm{sup}}$ be the supercritical ground-state soliton, and let $z\in\mathbb{R}^3$. Define … A…

Fix distinct soliton speeds, and let $f_{\mathrm{start}}$ denote the starting error whose leading behavior at one soliton is $t^{-1}$. Let $W_a$ be ground-state solitons, let…

Let $\phi$ solve the three-dimensional energy-critical wave equation and satisfy the no-outgoing-radiation condition, and consider multi-solitons whose ground-state components are…