Nonlinear Schrodinger equation with time dependent potential
Analysis of PDEs
2011-09-22 v2 Mathematical Physics
math.MP
Abstract
We prove a global well-posedness result for defocusing nonlinear Schrodinger equations with time dependent potential. We then focus on time dependent harmonic potentials. This aspect is motivated by Physics (Bose--Einstein condensation), and appears also as a preparation for the analysis of the propagation of wave packets in a nonlinear context. The main aspect considered here is the growth of high Sobolev norms of the solution.
Keywords
Cite
@article{arxiv.0910.4893,
title = {Nonlinear Schrodinger equation with time dependent potential},
author = {Rémi Carles},
journal= {arXiv preprint arXiv:0910.4893},
year = {2011}
}
Comments
27 pages. Some typos fixed