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

Lotfi Riahi · Colloquium Mathematicum · 2003

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

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