An inverse Problem for the cubic $\alpha$-NLS in Sobolev spaces

Zachary Lee, Nataša Pavlović

In this work, we address an inverse problem for a defocusing cubic nonlinear Schrödinger (NLS) equation in dimensions $d\in \{1,2,3\}$ in a range of Sobolev spaces $H^s(\mathbb{R}^…