Scattering for the Zakharov System in 3 Dimensions

被引：0
|
作者：
Zaher Hani
Fabio Pusateri
Jalal Shatah
机构：
[1] New York University,Courant Institute of Mathematical Sciences
[2] Princeton University,Department of Mathematics
来源：
Communications in Mathematical Physics | 2013年 / 322卷
关键词：
Cauchy Problem; Decay Estimate; Wave Operator; Wave Component; Langmuir Wave;
D O I：
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学科分类号：
摘要：
We prove global existence and scattering for small localized solutions of the Cauchy problem for the Zakharov system in 3 space dimensions. The wave component is shown to decay pointwise at the optimal rate of t−1, whereas the Schrödinger component decays almost at a rate of t−7/6.
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页码：731 / 753
页数：22
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