对称双曲系统的复几何光学II：一维非线性理论
Complex geometric optics for symmetric hyperbolic systems II: nonlinear theory in one space dimension
摘要：
本文是研究非线性对称双曲型方程组复相振动解的第二部分。我们认为，特别是，一个空间维度的情况下。这是一个值得注意的情况，因为人们总是可以满足\emph{naive}相干条件的复杂的相位，这是需要在建设的近似解决方案。形式上的理论也适用于几个空间维度，但\emph{naive}相干条件似乎是过于限制性的最佳相干条件的识别仍然是一个悬而未决的问题。
英文摘要：
This is the second part of a work aimed to study complex-phase oscillatory solutions of nonlinear symmetric hyperbolic systems. We consider, in particular, the case of one space dimension. That is a remarkable case, since one can always satisfy the \emph{naive} coherence condition on the complex phases, which is required in the construction of the approximate solution. Formally the theory applies also in several space dimensions, but the \emph{naive} coherence condition appears to be too restrictive; the identification of the optimal coherence condition is still an open problem.
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