Long time Anderson localization for nonlinear random Schroedinger equation
Mathematical Physics
2015-05-13 v1 Analysis of PDEs
math.MP
Abstract
We prove long time Anderson localization for nonlinear random Schroedinger equation in by making a Birkoff normal form type transform to creat an energy barrier where there is essentially no mode propagation. One of the new features is that this transform is in a small neighborhood enabling us to treat "rough" data, where there are no moment conditions. The formulation of the present result is inspired by the RAGE theorem.
Keywords
Cite
@article{arxiv.0805.3520,
title = {Long time Anderson localization for nonlinear random Schroedinger equation},
author = {W. -M. Wang and Zhifei Zhang},
journal= {arXiv preprint arXiv:0805.3520},
year = {2015}
}