Klein-Gordon型方程的概周期均匀化

IF 0.7 Q3 MATHEMATICS, APPLIED Differential Equations & Applications Pub Date : 2020-01-01 DOI:10.7153/dea-2020-12-10

Lazarus Signing

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摘要

．本文研究了一类Klein-Gordon型方程在概周期条件下的均匀化问题。传播速度和势是空间和时间相关的几乎周期性变化的函数。证明了一个收敛定理，导出了用平均波函数证明的宏观均匀化模型。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Almost periodic homogenization of the Klein-Gordon type equation

. In this paper, the homogenization problem for the Klein-Gordon type equation is stud- ied in the almost periodic setting. The propagation speed and the potential are spatial and time dependent almost periodically varying functions. One convergence theorem is proved and we derive the macroscopic homogenized model veri ﬁ ed by the mean wave function.

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Differential Equations & Applications MATHEMATICS, APPLIED-

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