Estimates for transportation costs along solutions to Fokker-Planck-Kolmogorov equations with dissipative drifts (Q2408734)

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Estimates for transportation costs along solutions to Fokker-Planck-Kolmogorov equations with dissipative drifts
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    Estimates for transportation costs along solutions to Fokker-Planck-Kolmogorov equations with dissipative drifts (English)
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    13 October 2017
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    Summary: We obtain estimates for the Kantorovich transportation costs along solutions to different Fokker-Planck-Kolmogorov equations for measures with the same diffusion part but with different drifts and different initial conditions. We give applications of such estimates to the study of the well-posedness for nonlinear equations.
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    nonlinear Fokker-Planck equation
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    dissipative operator
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    Fokker-Planck-Kolmogorov equation
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    Kantorovich distance
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