A comparison principle for singular parabolic equations in the Heisenberg group

A comparison principle for singular parabolic equations in the Heisenberg group

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 genera...

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Bibliographic Details
Main Author: Pablo Ochoa
Format: Article
Language:English
Published: Texas State University 2015-04-01
Series:Electronic Journal of Differential Equations
Subjects:
Partial differential equations on the Heisenberg group
viscosity solutions
Online Access:http://ejde.math.txstate.edu/Volumes/2015/120/abstr.html
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spelling doaj-065e0977e0894f31bff03a28d3d437dc2020-11-24T22:27:23ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912015-04-012015120,115A comparison principle for singular parabolic equations in the Heisenberg groupPablo Ochoa0 Univ. Nacional de Cuyo, Mendoza, Argentina 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.http://ejde.math.txstate.edu/Volumes/2015/120/abstr.htmlPartial differential equations on the Heisenberg groupviscosity solutions
collection DOAJ
language English
format Article
sources DOAJ
author Pablo Ochoa
spellingShingle Pablo Ochoa
A comparison principle for singular parabolic equations in the Heisenberg group
Electronic Journal of Differential Equations
Partial differential equations on the Heisenberg group
viscosity solutions
author_facet Pablo Ochoa
author_sort Pablo Ochoa
title A comparison principle for singular parabolic equations in the Heisenberg group
title_short A comparison principle for singular parabolic equations in the Heisenberg group
title_full A comparison principle for singular parabolic equations in the Heisenberg group
title_fullStr A comparison principle for singular parabolic equations in the Heisenberg group
title_full_unstemmed A comparison principle for singular parabolic equations in the Heisenberg group
title_sort comparison principle for singular parabolic equations in the heisenberg group
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 2015-04-01
description 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.
topic Partial differential equations on the Heisenberg group
viscosity solutions
url http://ejde.math.txstate.edu/Volumes/2015/120/abstr.html
work_keys_str_mv AT pabloochoa acomparisonprincipleforsingularparabolicequationsintheheisenberggroup
AT pabloochoa comparisonprincipleforsingularparabolicequationsintheheisenberggroup
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