On the derivative nonlinear Schr\"odinger equation with weakly dissipative structure
Analysis of PDEs
2021-10-15 v1
Abstract
We consider the initial value problem for cubic derivative nonlinear Schr\"odinger equation in one space dimension. Under a suitable weakly dissipative condition on the nonlinearity, we show that the small data solution has a logarithmic time decay in .
Cite
@article{arxiv.2004.12075,
title = {On the derivative nonlinear Schr\"odinger equation with weakly dissipative structure},
author = {Chunhua Li and Yoshinori Nishii and Yuji Sagawa and Hideaki Sunagawa},
journal= {arXiv preprint arXiv:2004.12075},
year = {2021}
}
Comments
10 pages