Existence and uniqueness theorems for solutions of McKean–Vlasov stochastic equations

New weak and strong existence uniqueness results for the solutions of multi-dimensional stochastic McKeanâ??Vlasov equation are established under relaxed regularity conditions. Weak requires a non-degeneracy diffusion no more than linear growth both coefficients in state variable. restricted assumption diffusion, yet without any drift; this part is based on analysis total variation metric.