In this paper we prove the existence and linear stability of full dimensional tori with subexponential decay for 1-dimensional nonlinear wave equation with external parameters, which relies on the method of KAM theory and the idea proposed by Bourgain [9].

中文翻译：

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一维非线性波动方程全维不变环的存在

在本文中，我们证明了带有外部参数的一维非线性波动方程具有次指数衰减的全尺寸托里环的存在和线性稳定性，它依赖于KAM理论的方法和Bourgain提出的思想[9]。