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.
Submitted March 24, 2015. Published April 30, 2015.
Math Subject Classifications: 35R03, 35R03.
Key Words: Partial differential equations on the Heisenberg group; viscosity solutions.
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| Pablo Ochoa |
Facultad de Ciencias Exactas y naturales
Universidad Nacional de Cuyo
Mendoza 5500, Argentina
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