Blowup and Scattering problems for the Nonlinear Schrödinger equations

Takafumi Akahori, Hayato Nawa

We consider $L^2$-supercritical and $H^1$-subcritical focusing nonlinear Schrödinger equations. We introduce a subset $PW$ of $H^1({\mathbb{R}}^d)$ for $d\ge 1$, and investig…