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Estimates of Green functions and their applications for parabolic operators with singular potentials

Estimates of Green functions and their applications for parabolic operators with singular potentials

We prove global pointwise estimates for the Green function of a parabolic operator with potential in the parabolic Kato class on a $C^{1,1}$ cylindrical domain ${\mit \Omega }$. We apply these estimates to obtain a new and shorter proof of the Harnack ine