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Scattering for the quadratic beam equation with radial initial data
Journal of Mathematical Analysis and Applications ( IF 1.2 ) Pub Date : 2021-07-03 , DOI: 10.1016/j.jmaa.2021.125460 Jie Chen 1
中文翻译:
具有径向初始数据的二次梁方程的散射
更新日期:2021-07-04
Journal of Mathematical Analysis and Applications ( IF 1.2 ) Pub Date : 2021-07-03 , DOI: 10.1016/j.jmaa.2021.125460 Jie Chen 1
Affiliation
In this paper, we prove scattering for the beam equation with quadratic nonlinear term assuming that the initial data is radial and below some thresholds with the spatial dimensions . The main difficult part is the so-called mass critical case for . We use the method of Dodson-Murphy [7] without concentration-compactness argument to obtain scattering.
中文翻译:
具有径向初始数据的二次梁方程的散射
在本文中,我们证明了具有二次非线性项的光束方程的散射,假设初始数据是径向的并且低于一些具有空间维度的阈值 . 主要的困难部分是所谓的大规模临界案例. 我们使用 Dodson-Murphy [7] 的方法没有浓度 - 紧凑性参数来获得散射。