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

Qiwei Sheng; Weimin Han

doi:10.1016/j.jmaa.2013.04.063

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

Journal article

Open access

Peer reviewed

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

Qiwei Sheng and Weimin Han

Journal of mathematical analysis and applications, Vol.406(2), pp.531-536

10/15/2013

DOI: 10.1016/j.jmaa.2013.04.063

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Abstract

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.

Maximum principle

Fokker–Planck equation

Existence

Uniqueness

Positivity

Details

Title: Subtitle: Well-posedness of the Fokker–Planck equation in a scattering process
Creators: Qiwei Sheng
Weimin Han
Resource Type: Journal article
Publication Details: Journal of mathematical analysis and applications, Vol.406(2), pp.531-536
DOI: 10.1016/j.jmaa.2013.04.063
ISSN: 0022-247X
eISSN: 1096-0813
Publisher: Elsevier Inc
Grant note: Simons Foundation
Language: English
Date published: 10/15/2013
Academic Unit: Mathematics
Record Identifier: 9983985932102771

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