Construction of blow-up solutions for the focusing energy-critical nonlinear wave equation in ${\mathbb{R}}^4$ and ${\mathbb{R}}^5$

Dylan Samuelian

We construct solutions $u(x,t)$ to the focusing, energy-critical, nonlinear wave equation \begin{equation} \partial_{tt}u - Δu - |u|^{p-1}u = 0, \quad t \geq 0, \ x \in \mathbb{R}^…