Steady states of Fokker-Planck equations. III: Degenerate diffusion (Q258104)
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scientific article; zbMATH DE number 6557811
| Language | Label | Description | Also known as |
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| English | Steady states of Fokker-Planck equations. III: Degenerate diffusion |
scientific article; zbMATH DE number 6557811 |
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Steady states of Fokker-Planck equations. III: Degenerate diffusion (English)
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17 March 2016
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The method, applied in this work, is based on the usage of the Lyapunov function, which is a compact function on the domain, where the considered stationary Fokker-Planck equation is defined, and satisfies the dissipation property. It is proven that an existence of such Lyapunov function (in a strong or in a weak sense) implies a stationary measure for the Fokker-Planck equation.
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Fokker-Planck equation
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degenerate diffusion
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existence
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stationary solution
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stationary measure
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level set method
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