Geodesic
A stability theorem for elliptic Harnack inequalities
Journal of the European Mathematical Society, Tome 15 (2013) no. 3, pp. 857-876 Cet article a éte moissonné depuis la source EMS Press

Voir la notice de l'article

We prove a stability theorem for the elliptic Harnack inequality: if two weighted graphs are equivalent, then the elliptic Harnack inequality holds for harmonic functions with respect to one of the graphs if and only if it holds for harmonic functions with respect to the other graph. As part of the proof, we give a characterization of the elliptic Harnack inequality.
DOI : 10.4171/jems/379
Classification : 31-XX, 60-XX, 00-XX
Keywords: Harnack inequality, random walks on graphs, Poincaré inequality, cutoff inequality, metric measure space 
@article{JEMS_2013_15_3_a6,
     author = {Richard F. Bass},
     title = {A stability theorem for elliptic {Harnack} inequalities},
     journal = {Journal of the European Mathematical Society},
     pages = {857--876},
     year = {2013},
     volume = {15},
     number = {3},
     doi = {10.4171/jems/379},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/379/}
}
TY  - JOUR
AU  - Richard F. Bass
TI  - A stability theorem for elliptic Harnack inequalities
JO  - Journal of the European Mathematical Society
PY  - 2013
SP  - 857
EP  - 876
VL  - 15
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4171/jems/379/
DO  - 10.4171/jems/379
ID  - JEMS_2013_15_3_a6
ER  - 
%0 Journal Article
%A Richard F. Bass
%T A stability theorem for elliptic Harnack inequalities
%J Journal of the European Mathematical Society
%D 2013
%P 857-876
%V 15
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4171/jems/379/
%R 10.4171/jems/379
%F JEMS_2013_15_3_a6
Richard F. Bass. A stability theorem for elliptic Harnack inequalities. Journal of the European Mathematical Society, Tome 15 (2013) no. 3, pp. 857-876. doi: 10.4171/jems/379

Cité par Sources :