The Non-Linear Fokker–Planck Equation in Low-Regularity Space

Yingzhe Fan and Bo Tang
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Yingzhe Fan: School of Mathematics and Statistics, Nanyang Normal University, Nanyang 473061, China
Bo Tang: School of Mathematics and Statistics, Hubei University of Arts and Science, Xiangyang 441053, China

Mathematics, 2022, vol. 10, issue 9, 1-12

Abstract: We construct the global existence and exponential time decay rates of mild solutions to the non-linear Fokker–Planck equation near a global Maxwellians with small-amplitude initial data in the low regularity function space L k 1 L T ∞ L v 2 where the regularity assumption on the initial data is weaker.

Keywords: non-linear Fokker–Planck equation; global existence; exponential time decay rates; low regularity function space (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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