On the derivative nonlinear Schrödinger equation with weakly dissipative structure
On the derivative nonlinear Schrödinger equation with weakly dissipative structure
复制标题
DOI：
10.1007/s00028-020-00634-6
复制
发表时间：
2020-04
影响因子：
1.4
通讯作者：
Chunhua Li;Y. Nishii;Yuji Sagawa;Hideaki Sunagawa
中科院分区：
文献类型：
--
作者：
Chunhua Li;Y. Nishii;Yuji Sagawa;Hideaki Sunagawa
研究了一维三阶导数非线性薛定谔方程的初值问题。在适当的非线性弱耗散条件下，我们证明了小数据解具有对数时间衰减。
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.