Geodesic
A comparison principle for singular parabolic equations in the Heisenberg group
Electronic Journal of Differential Equations, Tome 2015 (2015).

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Summary: In this work, we prove a comparison principle for singular parabolic equations with boundary conditions in the context of the Heisenberg group. In particular, this result applies to interesting equations, such as the parabolic infinite Laplacian, the mean curvature flow equation and more general homogeneous diffusions.
Classification : 35R03
Keywords: partial differential equations on the Heisenberg group, viscosity solutions 
@article{EJDE_2015__2015__a52,
     author = {Ochoa, Pablo},
     title = {A comparison principle for singular parabolic equations in the {Heisenberg} group},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2015},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a52/}
}
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Ochoa, Pablo. A comparison principle for singular parabolic equations in the Heisenberg group. Electronic Journal of Differential Equations, Tome 2015 (2015). http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a52/