Sharp well-posedness and ill-posedness results for the inhomogeneous NLS equation

Luccas Campos, Simão Correia, Luiz Gustavo Farah

We consider the initial value problem associated to the inhomogeneous nonlinear Schrö\-din\-ger equation, \begin{equation} iu_t + Δu +μ|x|^{-b}|u|^αu=0, \quad u_0\in H^s(\mathbb R^…