@article{Zhang2023, 
author = {Xingang Zhang and Zhe Liu and Ling Ding and Bo Tang},
title = {Global solutions to a nonlinear Fokker-Planck equation},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {7},
pages = {16115-16126},
keywords = {nonlinear Fokker-Planck equation, global existence, energy method, Cauchy problem, Priori estimates},
url = {https://www.sciopen.com/article/10.3934/math.2023822},
doi = {10.3934/math.2023822},
abstract = {In this paper, we construct global solutions to the Cauchy problem on a nonlinear Fokker-Planck equation near Maxwellian with small-amplitude initial data in Sobolev space        H          x        2        L    v    2   by a refined nonlinear energy method. Compared with the results of Liao et al. (Global existence and decay rates of the solutions near Maxwellian for non-linear Fokker-Planck equations, J. Stat. Phys., 173 (2018), 222–241.), the regularity assumption on the initial data is much weaker.}
}