Channels of energy for the linear radial wave equation
Channels of energy for the linear radial wave equation
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DOI：
10.1016/j.aim.2015.08.014
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发表时间：
2014-09
期刊：
影响因子：
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通讯作者：
C. Kenig;A. Lawrie;Bao-ying Liu;W. Schlag
中科院分区：
文献类型：
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作者：
C. Kenig;A. Lawrie;Bao-ying Liu;W. Schlag
在[6]中首先考虑了径向波动方程的外部能量通道的能量估计，在[12]中首先考虑了5维情况。在本文中，我们找到了径向自由波动方程的所有奇维能量估计通道的一般形式。这将在配套论文 [11] 中用于建立球 B (0, 1) 外部 R 3 和所有等变类中等变波图的孤子分辨率。
Exterior channel of energy estimates for the radial wave equation were first considered in three dimensions in [6], and for the 5-dimensional case in [12]. In this paper we find the general form of the channel of energy estimate in all odd dimensions for the radial free wave equation. This will be used in the companion paper [11] to establish the soliton resolution for equivariant wave maps in R 3 exterior to the ball B (0, 1) and in all equivariance classes.