Solving singular evolution problems in sub-Riemannian groups via deterministic games

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dc.contributor.authorOchoa, Pablo
dc.contributor.authorRuiz, Julio A.
dc.date.accessioned2021-08-27T16:10:18Z
dc.date.available2021-08-27T16:10:18Z
dc.date.issued2021-06-23
dc.description.abstractIn 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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent22 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationOchoa, 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.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14467
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2021, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectCarnot group
dc.subjectViscosity solutions
dc.subjectDifferential games
dc.titleSolving singular evolution problems in sub-Riemannian groups via deterministic games
dc.typeArticle

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