On the Cauchy problem for the derivative nonlinear Schroedinger equation with periodic boundary condition
On the Cauchy problem for the derivative nonlinear Schroedinger equation with periodic boundary condition
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DOI：
10.1155/imrn/2006/96763
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发表时间：
2005-12
期刊：
影响因子：
--
通讯作者：
S. Herr
中科院分区：
文献类型：
--
作者：
S. Herr
It is shown that the Cauchy problem for the DNLS equation in the spatially periodic setting is locally well-posed in Sobolev spaces H^s(T) for s \geq 1/2. Moreover, global well-posedness is shown for s \geq 1 and data with small L^2 norm.
