Steady States of Fokker-planck Equations: Iii. Degenerate Diffusion
نویسندگان
چکیده
This is the third paper in a series concerning the study of steady states of a Fokker-Planck equation in a general domain in R with Lp̄loc drift term and W 1,p̄ loc diffusion term for any p̄ > n. 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.
منابع مشابه
Steady States of Fokker-planck Equations: I. Existence
This is the first paper in a series concerning the study of steady states of a Fokker-Planck equation in a general domain in R with Lp̄loc drift term and W 1,p̄ loc diffusion term for any p̄ > n. In this paper, by using the level set method especially the integral identity which we introduced in [24], we obtain several new existence results of steady states, including stationary solutions and meas...
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