Pablo Ochoa
Abstract:
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 email: ochopablo@gmail.com |
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