Geodesic
Estimates of Green functions and their applications for parabolic operators with singular potentials
Lotfi Riahi1
1 Department of Mathematics Faculty of Sciences of Tunis Campus Universitaire 1060 Tunis, Tunisia
Colloquium Mathematicum, Tome 95 (2003) no. 2, pp. 267-283.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 inequality [16], and to study the boundary behavior of nonnegative solutions.
DOI : 10.4064/cm95-2-10
Keywords: prove global pointwise estimates green function parabolic operator potential parabolic kato class cylindrical domain mit omega apply these estimates obtain shorter proof harnack inequality study boundary behavior nonnegative solutions

Lotfi Riahi 1

1 Department of Mathematics Faculty of Sciences of Tunis Campus Universitaire 1060 Tunis, Tunisia 
@article{10_4064_cm95_2_10,
     author = {Lotfi Riahi},
     title = {Estimates of {Green} functions and their applications
 for parabolic operators with singular potentials},
     journal = {Colloquium Mathematicum},
     pages = {267--283},
     publisher = {mathdoc},
     volume = {95},
     number = {2},
     year = {2003},
     doi = {10.4064/cm95-2-10},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm95-2-10/}
}
TY  - JOUR
AU  - Lotfi Riahi
TI  - Estimates of Green functions and their applications
 for parabolic operators with singular potentials
JO  - Colloquium Mathematicum
PY  - 2003
SP  - 267
EP  - 283
VL  - 95
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm95-2-10/
DO  - 10.4064/cm95-2-10
LA  - en
ID  - 10_4064_cm95_2_10
ER  - 
%0 Journal Article
%A Lotfi Riahi
%T Estimates of Green functions and their applications
 for parabolic operators with singular potentials
%J Colloquium Mathematicum
%D 2003
%P 267-283
%V 95
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/cm95-2-10/
%R 10.4064/cm95-2-10
%G en
%F 10_4064_cm95_2_10
Lotfi Riahi. Estimates of Green functions and their applications
 for parabolic operators with singular potentials. Colloquium Mathematicum, Tome 95 (2003) no. 2, pp. 267-283. doi : 10.4064/cm95-2-10. http://geodesic.mathdoc.fr/articles/10.4064/cm95-2-10/

Cité par Sources :