The Harnack inequality and the Jordan-Kinderlehrer-Otto scheme
P.W.Y. Lee
TL;DR
This paper proves a version of the Harnack inequality for the Jordan-Kinderlehrer-Otto scheme applied to the heat equation on a flat torus, advancing understanding of its mathematical properties.
Contribution
It introduces a Harnack inequality for the JKO scheme, providing new theoretical insights into its behavior for the heat equation.
Findings
Harnack inequality established for the JKO scheme
Enhanced understanding of the scheme's properties on flat torus
Potential implications for analysis of heat equations
Abstract
We establish a version of the Harnack inequality for the Jordan-Kinderlehrer-Otto scheme of the heat equation on the flat torus.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Point processes and geometric inequalities · Nonlinear Partial Differential Equations