Abstract

In this paper, we prove two-sided pointwise estimates for the Green function of a parabolic operator with singular first order term on a C1,1-cylindrical domain Ω. Basing on these estimates, we establish the equivalence of the parabolic measure, the adjoint parabolic measure and the surface measure on the lateral boundary of Ω. These results are first studied by some authors for certain elliptic and less general parabolic operators.

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