On Schr\"odinger systems with cubic dissipative nonlinearities of derivative type
Analysis of PDEs
2016-04-20 v1
Abstract
Consider the initial value problem for systems of cubic derivative nonlinear Schr\"odinger equations in one space dimension with the masses satisfying a suitable resonance relation. We give structural conditions on the nonlinearity under which the small data solution gains an additional logarithmic decay as compared with the corresponding free evolution.
Keywords
Cite
@article{arxiv.1507.07617,
title = {On Schr\"odinger systems with cubic dissipative nonlinearities of derivative type},
author = {Chunhua Li and Hideaki Sunagawa},
journal= {arXiv preprint arXiv:1507.07617},
year = {2016}
}
Comments
26 pages