Estimates for Kantorovich functionals between solutions to Fokker -- Planck -- Kolmogorov equations with dissipative drifts
Analysis of PDEs
2016-02-19 v2 Functional Analysis
Abstract
We obtain estimates for the Kantorovich functionals between solutions to different Fokker -- Planck -- Kolmogorov equations for measures with same diffusion part but different drifts and different initial conditions. We show possible applications of such estimates to the study of the well-posedness for nonlinear equations.
Keywords
Cite
@article{arxiv.1507.04014,
title = {Estimates for Kantorovich functionals between solutions to Fokker -- Planck -- Kolmogorov equations with dissipative drifts},
author = {Oxana Manita},
journal= {arXiv preprint arXiv:1507.04014},
year = {2016}
}
Comments
13 pages; revised, extended to a more general case, minor mistaked corrected