Solving singular evolution problems in sub-Riemannian groups via deterministic games
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Date
2021-06-23
Authors
Ochoa, Pablo
Ruiz, Julio A.
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this manuscript, we prove the existence of viscosity solutions to singular parabolic equations in Carnot groups. We develop the analysis by constructing appropriate deterministic games adapted to the algebraic and differential structures of Carnot groups. We point out that the proof of existence does not require a comparison principle and it is based on an Arzela-Ascoli-type theorem.
Description
Keywords
Carnot group, Viscosity solutions, Differential games
Citation
Ochoa, P., & Ruiz, J. A. (2021). Solving singular evolution problems in sub-Riemannian groups via deterministic games. <i>Electronic Journal of Differential Equations, 2021</i>(57), pp. 1-22.
Rights
Attribution 4.0 International