Quasi-periodic solutions of completely resonant nonlinear wave equations ✩
Quasi-periodic solutions of completely resonant nonlinear wave equations ✩
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DOI：
10.1016/j.jde.2005.12.012
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发表时间：
2006-11
影响因子：
2.4
通讯作者：
Xiaoping Yuan
中科院分区：
文献类型：
--
作者：
Xiaoping Yuan
利用KAM理论证明了周期边界条件下完全共振非线性波动方程存在多个椭圆不变环面，从而存在多个拟周期解。
It is shown that there are many elliptic invariant tori, and thus quasi-periodic solutions, for the completely resonant nonlinear wave equation subject to periodic boundary conditions via KAM theory.