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

@article{LotfiRiahi2003,
abstract = {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 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.},
author = {Lotfi Riahi},
journal = {Colloquium Mathematicae},
keywords = {parabolic equation; Green function; Harnack inequality},
language = {eng},
number = {2},
pages = {267-283},
title = {Estimates of Green functions and their applications for parabolic operators with singular potentials},
url = {http://eudml.org/doc/284517},
volume = {95},
year = {2003},
}

TY - JOUR
AU - Lotfi Riahi
TI - Estimates of Green functions and their applications for parabolic operators with singular potentials
JO - Colloquium Mathematicae
PY - 2003
VL - 95
IS - 2
SP - 267
EP - 283
AB - 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 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.
LA - eng
KW - parabolic equation; Green function; Harnack inequality
UR - http://eudml.org/doc/284517
ER -