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A structure theorem for elliptic and parabolic operators with applications to homogenization of operators of Kolmogorov type

A structure theorem for elliptic and parabolic operators with applications to homogenization of operators of Kolmogorov type

We consider the operators ∇X • (A(X)∇X), ∇X • (A(X)∇X) -∂t, ∇X • (A(X)∇X) + X • ∇Y -∂t, where X ∈ Ω, (X, t) ∈ Ω × R and (X, Y, t) ∈ Ω × R m × R, respectively, and where Ω ⊂ R m is a (unbounded) …