The final state problem for the nonlinear Schrodinger equation in
dimensions 1, 2 and 3
The final state problem for the nonlinear Schrodinger equation in
dimensions 1, 2 and 3
In this article we consider the defocusing nonlinear Schr\"odinger equation, with time-dependent potential, in space dimensions $n=1, 2$ and $3$, with nonlinearity $|u|^{p-1} u$, $p$ an odd integer, satisfying $p \geq 5$ in dimension $1$, $p \geq 3$ in dimension $2$ and $p=3$ in dimension $3$. We also allow a …