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TO NONAUTONOMOUS KOLMOGOROV EQUATIONS

. We study a class of nonautonomous, linear, parabolic equations with unbounded coeﬃcients on R d which admit an evolution system of measures. It is shown that the solutions of these equations converge to constant functions as t → + ∞ . We further establish the uniqueness of the tight evolution system of measures and treat the case of converging coeﬃcients.