ABSTRACT
In this chapter we set the basis of the analysis on non-autonomous Kolmogorov equations in RN associated with the family of elliptic operators A(t), defined on smooth functions ψ : RN → R by
A(t)ψ(x) = N∑
qij(t, x)Dijψ(x) +
bi(t, x)Diψ(x) + c(t, x)ψ(x) (14.0.1)
for any t ∈ I and x ∈ RN . In view of the use of these results in the next chapters, we assume that I is either R or a right halfline, but most of the results that we present in this chapter also hold true in the case when I is a bounded interval.
