We present two comparison theorems for a class of weakly coupled systems of Hamilton-Jacobi equations with convex, coercive Hamiltonians. These results apply in particular to systems arising in large deviations theory for random evolution processes.
Publié le : 2008-05-15
Classification:
systems of Hamilton-Jacobi equations,
viscosity solutions,
large deviations theory,
49L25,
35F30,
35B25
@article{1253539559,
author = {CAMILLI, Fabio and LORETI, Paola},
title = {Comparison results for a class of weakly coupled systems of eikonal equations},
journal = {Hokkaido Math. J.},
volume = {37},
number = {4},
year = {2008},
pages = { 349-362},
language = {en},
url = {http://dml.mathdoc.fr/item/1253539559}
}
CAMILLI, Fabio; LORETI, Paola. Comparison results for a class of weakly coupled systems of eikonal equations. Hokkaido Math. J., Tome 37 (2008) no. 4, pp. 349-362. http://gdmltest.u-ga.fr/item/1253539559/