Release Time:2019-03-13  Hits:

Indexed by: Journal Article

Date of Publication: 2016-03-01

Journal: JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS

Included Journals: SCIE

Volume: 28

Issue: 1

Page Number: 127-141

ISSN: 1040-7294

Key Words: Fokker-Planck equation; Degenerate diffusion; Existence; Stationary solution; Stationary measure; Level set method

Abstract: This is the third paper in a series concerning the study of steady states of a Fokker-Planck equation in a general domain in with drift term and diffusion term for any . In this paper, we give some existence results of stationary measures of the Fokker-Planck equation under Lyapunov conditions which allow the degeneracy of diffusion.