Parabolic equations relative to vector fields

We define two notions of viscosity solutions to parabolic equations defined using vector fields, depending on whether the test functions concern only the past or both the past and the future. Using the parabolic maximum principle for vector fields, we then prove a comparison principle for a clas...

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Bibliographic Details
Main Author: Thomas Bieske
Format: Article
Language:English
Published: Texas State University 2008-09-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2008/124/abstr.html