On uniqueness of solutions to nonlinear Fokker--Planck--Kolmogorov   equations
  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. 
Oxana A. Manita, Maxim S. Romanov, Stanislav V. Shaposhnikov
math.AP