@article{5549a61a43b7409fb5009e0eec8c4f58,
title = "Explicit structure of the Fokker-Planck equation with potential",
abstract = "We study the pointwise (in the space and time variables) behavior of the Fokker-Planck equation with potential. An explicit description of the solution is given, including the large time behavior, initial layer, and spatially asymptotic behavior. Moreover, it is shown that the structure of the solution sensitively depends on the potential function.",
author = "Lin, {Yu Chu} and Haitao Wang and Wu, {Kung Chien}",
note = "Funding Information: Received October 27, 2018, and, in revised form, January 24, 2019. 2010 Mathematics Subject Classification. Primary 35Q84, 82C40. Key words and phrases. Fokker-Planck, fluid-like waves, kinetic-like waves, pointwise estimate, regularization estimate. The first author was supported by the Ministry of Science and Technology under the grant MOST 107-2115-M-006-006-. The second author was sponsored by Shanghai Sailing Program(18YF1411800) and Shanghai Jiao Tong University(WF220441907). The third author was supported by the Ministry of Science and Technology under the grant 108-2636-M-006-005-and National Center for Theoretical Sciences. Email address: yuchu@mail.ncku.edu.tw Email address: haitallica@sjtu.edu.cn Email address: kungchienwu@gmail.com",
year = "2019",
doi = "10.1090/qam/1537",
language = "English",
volume = "77",
pages = "727--766",
journal = "Quarterly of Applied Mathematics",
issn = "0033-569X",
publisher = "American Mathematical Society",
number = "4",
}