JournalsrlmVol. 28, No. 3pp. 601–618

Estimates for transportation costs along solutions to Fokker–Planck–Kolmogorov equations with dissipative drifts

  • Oxana A. Manita

    Moscow Lomonosov State University, Moscow, Russia
Estimates for transportation costs along solutions to Fokker–Planck–Kolmogorov equations with dissipative drifts cover
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Abstract

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.

Cite this article

Oxana A. Manita, Estimates for transportation costs along solutions to Fokker–Planck–Kolmogorov equations with dissipative drifts. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 28 (2017), no. 3, pp. 601–618

DOI 10.4171/RLM/778