Global dynamics of a supercritical wave equation in a large data regime

Shijie Dong, Zoe Wyatt, Jingya Zhao

We prove the existence of global solutions to the nonlinear wave equation in ${\mathbb{R}}^{1+3}$ $$\hat{I}{¦}_{tt}-\hat{I}”\hat{I}¦\pm \hat{I}¦|\hat{I}¦{|}^{p-1}=0$$ in the energy-supercritical regime $p>5$, for…