论文标题
强制性线性通风方程的几乎周期性响应解决方案
Almost-periodic Response Solutions for a forced quasi-linear Airy equation
论文作者
论文摘要
我们证明了几乎有周期性的解决方案存在通风方程的准线性扰动。这是关于准线性PDE的这种类型的解决方案的第一个结果。这些解决方案在时间和空间上是分析性的。为了证明我们的结果，我们使用craig-wayne方法与$ {\ Mathbb t}^\ infty $上的KAM可降低方案和伪差异积分相结合。
We prove the existence of almost-periodic solutions for quasi-linear perturbations of the Airy equation. This is the first result about the existence of this type of solutions for a quasi-linear PDE. The solutions turn out to be analytic in time and space. To prove our result we use a Craig-Wayne approach combined with a KAM reducibility scheme and pseudo-differential calculus on ${\mathbb T}^\infty$.
