Comparison principle for parabolic equations in the Heisenberg group
Date
2005-09-01
Authors
Bieske, Thomas
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
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 show the sufficiency of considering the test functions that concern only the past.
Description
Keywords
Heisenberg group, Viscosity solutions, Parabolic equations
Citation
Bieske, T. (2005). Comparison principle for parabolic equations in the Heisenberg group. <i>Electronic Journal of Differential Equations, 2005</i>(95), pp. 1-11.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.