On global well-posedness, scattering and other properties for infinity energy solutions to inhomogeneous NLS Equation

Mykael Cardoso, Roger de Moura, Gleison Santos

In this work, we consider the inhomogeneous nonlinear Schrödinger (INLS) equation in ${\mathbb{R}}^n$ \begin{align} i\partial_t u + Δu + γ|x|^{-b}|u|^α u = 0, \end{align} where $γ=\p…