SCATTERING THEORY FOR ZAKHAROV EQUATIONS IN THREE-DIMENSIONAL SPACE WITH LARGE DATA
SCATTERING THEORY FOR ZAKHAROV EQUATIONS IN THREE-DIMENSIONAL SPACE WITH LARGE DATA
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DOI：
10.1142/s0219199704001574
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发表时间：
2004-12
影响因子：
1.6
通讯作者：
A. Shimomura
中科院分区：
文献类型：
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作者：
A. Shimomura
本文研究三维空间中Zakharov方程的散射理论。我们证明了这个方程的解的唯一存在性，它趋向于给定的自由轮廓，对散射态的大小和它们的傅里叶变换的支持没有限制。这就产生了伪波算子的存在性。
We study the scattering theory for the Zakharov equation in three-dimensional space. We show the unique existence of the solution for this equation which tends to the given free profile with no restriction on the size of the scattered states and on the support of the Fourier transform of them. This yields the existence of the pseudo wave operators.