Global Well-posedness and Scattering for the Focusing Energy-critical Inhomogeneous Nonlinear Schrödinger Equation with Non-radial Data

Dongjin Park

We consider the focusing energy-critical inhomogeneous nonlinear Schrödinger equation \[ iu_t + Δu = -|x|^{-b}|u|^αu \] where $n\ge 3$, $0<b<\min (2,n/2)$, and $\alpha =(4-2b)/(n-2)$.…