Solutions of Nonlinear Wave Equations and Localization Theory
Solutions of Nonlinear Wave Equations and Localization Theory
复制标题
非线性波动方程的解和局域化理论
DOI：
10.1007/978-3-642-77303-7_18
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发表时间：
1992
期刊：
影响因子：
--
通讯作者：
C. E. Wayne
中科院分区：
文献类型：
--
作者：
W. Craig;C. E. Wayne
确定定理是否适用于给定非线性项的条件在数量上是有限的，只涉及g（x，u）的泰勒级数中的前三项，并且至少在原则上，可以对给定的g（x，u）明确验证。作为该定理适用的那类方程的一个特殊例子，考虑克莱因-戈登方程，
The conditions which determine whether or not the Theorem applies to a given nonlinear term are finite in number, involve only the first three terms in the Taylor series for g (x, u), and can, at least in principle, be explicitly verified for a given g (x, u). As a particular example of the sort of equation to which the Theorem applies, consider the Klein-Gordon equation,