Estimates of Green functions and their applications for parabolic operators with singular potentials
Lotfi Riahi (2003)
Colloquium Mathematicae
Similarity:
We prove global pointwise estimates for the Green function of a parabolic operator with potential in the parabolic Kato class on a cylindrical domain Ω. We apply these estimates to obtain a new and shorter proof of the Harnack inequality [16], and to study the boundary behavior of nonnegative solutions.