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.
Kac, Foundations of kinetic theory, Proceedings of the Third Berkeley Symposium on Mathematical Statistics and Probability, University of California Press (1956), 171–197
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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.