论文标题
加权Sobolev空间中的非线性schrödinger-airy方程
The Nonlinear Schrödinger-Airy equation in weighted Sobolev spaces
论文作者
论文摘要
我们研究了非线性schrödinger-airy方程解决方案的持久性属性,并在加权Sobolev space $ h^{1/4}(\ Mathbb {r})\ cap l^2(| x | x |^{2m} dx)$,$ 0 <m \ m \ leq 1/8 $中,通过contractallactractraction。
We study the persistence property of the solution for the nonlinear Schrödinger-Airy equation with initial data in the weighted Sobolev space $H^{1/4}(\mathbb{R})\cap L^2(|x|^{2m}dx)$, $0<m \leq 1/8$, via the contraction principle.