Existence is proved for solutions of nonlinear stationary Kolmogorov equations with partially degenerate diffusion and discontinuous coefficients using a Lyapunov integral condition and projection regularity.
McKean, Propagation of chaos for a class of non-linear parabolic equations, Stochastic Differential Equations (1967): 41–57
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Existence theorems for nonlinear stationary Kolmogorov equations with partially degenerate diffusion matrices
Existence is proved for solutions of nonlinear stationary Kolmogorov equations with partially degenerate diffusion and discontinuous coefficients using a Lyapunov integral condition and projection regularity.