Finite dimensionality of the global attractor for a fractional Schrodinger equation on R
Finite dimensionality of the global attractor for a fractional Schrodinger equation on R
复制标题
R 上分数阶薛定谔方程全局吸引子的有限维
DOI：
10.1016/j.aml.2019.07.005
复制
发表时间：
2019
影响因子：
3.7
通讯作者：
Huang Jianhua
中科院分区：
文献类型：
--
作者：
Wang Ming;Huang Jianhua
在实线上证明了一个阻尼分数阶Schrödinger方程的全局吸引子的有限维数。力只属于l2 (R)，特别是在无穷远处不需要衰减假设。这解决了Goubet和zahroui（2017）提出的问题。
The finite dimensionality of the global attractor is proved for a damped fractional Schrödinger equation on the real line. The force merely belongs to L 2 (R), in particular needs no decay assumptions at the infinity. This solves a problem posed by Goubet and Zahrouni (2017).