A global space-time estimate for dispersive operators through its local estimate
Journal of Mathematical Analysis and Applications(2022)
Abstract
We will show that a local space-time estimate implies a global space-time estimate for dispersive operators. In order for this implication we consider a Littlewood-Paley type square function estimate for dispersive operators in a time variable and a generalization of Tao's epsilon removal lemma in mixed norms. By applying this implication to the fractional Schrödinger equation in R2+1 we obtain the sharp global space-time estimates with optimal regularity from the previous known local ones.
MoreTranslated text
Key words
Schrödinger equation,Dispersive operator,Global space-time estimate
AI Read Science
Must-Reading Tree
Example
![](https://originalfileserver.aminer.cn/sys/aminer/pubs/mrt_preview.jpeg)
Generate MRT to find the research sequence of this paper
Chat Paper
Summary is being generated by the instructions you defined