On the radius of spatial analyticity for cubic nonlinear Schrödinger equation

Abstract

It is shown that the uniform radius of spatial analyticity $\sigma (t)$ of solutions at time $t$ to the 1d, 2d and 3d cubic nonlinear Schrödinger equations cannot decay faster than $1/|t|$ as $|t|\to \infty$, given initial data that is analytic with fixed radius ${\sigma }_0$.

13, To appear in J. differential equations

References in corpus (1)

• Some local wellposedness results for nonlinear Schroedinger equations below L^2