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Steady States of Fokker-Planck Equations: III. Degenerate Diffusion

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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.

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