Comparison principle for parabolic equations in the Heisenberg group

We define two notions of viscosity solutions to parabolic equations in the Heisenberg group, depending on whether the test functions concern only the past or both the past and the future. We then exploit the Heisenberg geometry to prove a comparison principle for a class of parabolic equations and s...

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Bibliographic Details
Main Author: Thomas Bieske
Format: Article
Language:English
Published: Texas State University 2005-09-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2005/95/abstr.html