Doubling variables and uniqueness of probability solutions to degenerate stationary Kolmogorov equations

Published 11 Nov 2025 in math.AP and math.PR | (2511.08781v1)

Abstract: We obtain sufficient conditions for the uniqueness of a probability solution to the stationary Kolmogorov equation with a degenerate diffusion matrix. We employ the method of doubling variables known in stochastic analysis directly to the Kolmogorov equation.

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