Well-posedness of the Fokker-Planck equation in a scattering process

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:406

Article

Han, Weimin¹ 

[1] Univ Iowa, Dept Math, Iowa City, IA 52242 USA

关键词: Fokker-Planck equation;    Existence;    Uniqueness;    Maximum principle;    Positivity;   

DOI  :  10.1016/j.jmaa.2013.04.063

来源: Elsevier

【 摘 要 】

The Fokker-Planck equation is usually used as an approximation of the linear transport equation for a highly forward peaked scattering process. In this note, we provide a rigorous proof for the solution existence and uniqueness of a boundary value problem to the Fokker-Planck equation. In addition, we present a result on the positivity of the solution. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free