Scattering in the energy space for the NLS with variable coefficients

Biagio Cassano, Piero D'Ancona

We consider the NLS with variable coefficients in dimension $n\ge 3$ \begin{equation*} i \partial_t u - Lu +f(u)=0, \qquad Lv=\nabla^{b}\cdot(a(x)\nabla^{b}v)-c(x)v, \qquad \nabla^{…