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Indexed by:期刊论文
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 No.: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.