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Scattering for 3D quantum Zakharov system in $L^2$
Communications in Mathematical Sciences ( IF 1 ) Pub Date : 2021-01-01 , DOI: 10.4310/cms.2021.v19.n2.a4
Chunyan Huang 1 , Boling Guo 2 , Yi Heng 3
Affiliation  

In this paper, we study the Cauchy problem for quantum Zakharov system in three space dimensions. We prove that the quantum Zakharov system scatters in low regularity space $L^2$ with small radial initial data basing on some radial improved Strichartz estimates with wider range and the normal form transformation technique.

中文翻译:

$ L ^ 2 $中3D量子Zakharov系统的散射

在本文中,我们在三个空间维度上研究了量子Zakharov系统的柯西问题。我们证明了量子Zakharov系统在低规则性空间$ L ^ 2 $中具有较小的径向初始数据,该散射基于一些径向改进的Strichartz估计,具有更宽的范围和法线形式转换技术。
更新日期:2021-01-01
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