非线性波动方程的时间周期解
The Time-Periodic Solution for Nonlinear Wave Equation
摘要:

本文利用伽辽金方法，Leray-Schauder不动点定理和先验估计，证明了带周期外力和周期边界的非线性Kuramoto-Sivashinsky方程时间周期解的存在性。

Abstract: In this paper, we study Kuramoto-Sivashinsky equation with periodic boundary condition. The existence and uniqueness of a time-periodic solution is proved by the Galerkin methed and Leray-Schauder fixed point theorem.

文章引用：赵维毓, 高平. 非线性波动方程的时间周期解[J]. 应用数学进展, 2013, 2(1): 34-41. http://dx.doi.org/10.12677/AAM.2013.21005

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