Sharp convergence rate on Schr\"{o}dinger type operators
Analysis of PDEs
2024-05-24 v1 Classical Analysis and ODEs
Abstract
For Schr\"{o}dinger type operators in one dimension, we consider the relationship between the convergence rate and the regularity for initial data. By establishing the associated frequency-localized maximal estimates, we prove sharp results up to the endpoints. The optimal range for the wave operator in all dimensions is also obtained.
Cite
@article{arxiv.2405.14134,
title = {Sharp convergence rate on Schr\"{o}dinger type operators},
author = {Meng Wang and Shuijiang Zhao},
journal= {arXiv preprint arXiv:2405.14134},
year = {2024}
}
Comments
13 pages, 2 figures