On the derivative nonlinear Schrödinger equation with weakly dissipative structure

被引：0
|
作者：
Chunhua Li
Yoshinori Nishii
Yuji Sagawa
Hideaki Sunagawa
机构：
[1] Yanbian University,Department of Mathematics, College of Science
[2] Osaka University,Department of Mathematics, Graduate School of Science
[3] Micron Memory Japan,Department of Mathematics, Graduate School of Science
[4] G.K.,undefined
[5] Osaka City University,undefined
来源：
Journal of Evolution Equations | 2021年 / 21卷
关键词：
Cubic derivative nonlinear Schrödinger equation; Large time behavior; Weakly dissipative structure; 35Q55; 35B40;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider the initial value problem for cubic derivative nonlinear Schrödinger 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 L2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L^2$$\end{document}.
引用
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页码：1541 / 1550
页数：9
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