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.
"Comparison results for a class of weakly coupled systems of eikonal equations." Hokkaido Math. J. 37 (2) 349 - 362, May 2008. https://doi.org/10.14492/hokmj/1253539559