Global well-posedness on the derivative nonlinear Schrödinger equation

Global well-posedness on the derivative nonlinear Schrödinger equation
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DOI:
10.2140/apde.2015.8.1101
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发表时间:
2014-04
期刊:
影响因子:
2.2
通讯作者:
Yifei Wu
Yifei Wu
中科院分区:
数学1区
文献类型:
--
作者:
Yifei Wu

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作为我们先前工作的延续,我们考虑了微分非线性薛定谔方程的全局适定性。我们证明了它在能量空间上是全局适定的,前提是初始数据u02 H 1。R/ withku0kL2 < 2 p。
As a continuation of our previous work, we consider the global well-posedness for the derivative nonlinear Schrodinger equation. We prove that it is globally well posed in the energy space, provided that the initial data u02 H 1 .R/ withku0kL2 < 2 p .