Large global solutions for nonlinear Schrödinger equations III, energy-supercritical cases

Marius Beceanu, Qingquan Deng, Avy Soffer +1

In this work, we mainly focus on the energy-supercritical nonlinear Schrödinger equation, $$i{\partial }_{t}u+\Delta u=\mu |u{|}^{p}u,(t,x)\in {\mathbb{R}}^{d+1},$$ with $\mu =\pm 1$ and $p>\…