标题:
非线性波动方程的时间周期解
The Time-Periodic Solution for Nonlinear Wave Equation
作者:
赵维毓, 高平
关键字:
Kuramoto-Sivashinsky方程, 伽辽金方法, Leray-Schauder不动点定理
Kuramoto-Sivashinsky Equation; Galerkin Method; Leray-Schauder Fixed Point Theorem
期刊名称:
《Advances in Applied Mathematics》, Vol.2 No.1, 2013-02-26
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。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.