On a nonlinear scattering operator
On a nonlinear scattering operator
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关于非线性散射算子
DOI：
10.1002/cpa.3160260104
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发表时间：
1973
影响因子：
3
通讯作者：
W. Strauss
中科院分区：
文献类型：
--
作者：
C. Morawetz;W. Strauss
在文1中，我们证明了m>；0，g>；0的解在能量范数下与线性方程g=0的解u+渐近，如t-+f co。映射u-+u+称为散射算子S，证明了它是线性空间2F上自由解(线性方程的解)在下列范数下的微分同胚：
In I, we showed that solutions of m> 0, g> 0, are asymptotic in the energy norm to solutions u+ of the linear equation, g= 0, as t-+ f co. The mapping u-+ u+ is called the scattering operator S. It was shown to be a diffeomorphism on a linear space 2F of free solutions (solutions of the linear equation) in the following norm: co