@article{Fan2022, 
author = {Jishan Fan and Tohru Ozawa},
title = {Well-posedness for the Chern-Simons-Schrödinger equations},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {9},
pages = {17349-17356},
keywords = {Chern-Simons-Schrödinger, Coulomb gauge, well-posedness},
url = {https://www.sciopen.com/article/10.3934/math.2022955},
doi = {10.3934/math.2022955},
abstract = {First, we prove uniform-in-   ϵ regularity estimates of local strong solutions to the Chern-Simons-Schrödinger equations in              R        2  . Here    ϵ is the dispersion coefficient. Then we prove the global well-posedness of strong solutions to the limit problem    (  ϵ  =  0  ).}
}