On uniqueness of solutions to nonlinear Fokker--Planck--Kolmogorov equations
Analysis of PDEs
2014-07-31 v1
Abstract
We study uniqueness of flows of probability measures solving the Cauchy problem for nonlinear Fokker-Planck-Kolmogorov equation with unbounded coefficients. Sufficient conditions for uniqueness are indicated and examples of non-uniqueness are constructed.
Keywords
Cite
@article{arxiv.1407.8047,
title = {On uniqueness of solutions to nonlinear Fokker--Planck--Kolmogorov equations},
author = {Oxana A. Manita and Maxim S. Romanov and Stanislav V. Shaposhnikov},
journal= {arXiv preprint arXiv:1407.8047},
year = {2014}
}
Comments
26 pages