Year: 2023
Author: Lu Xu, Bianlian Yan
Analysis in Theory and Applications, Vol. 39 (2023), Iss. 2 : pp. 147–162
Abstract
We study microscopic convexity properties of convex solutions of fully nonlinear parabolic equations under a structural condition introduced by Bian-Guan. We prove weak Harnack inequalities for the eigenvalues of the spatial Hessian of solutions and obtain the monotonicity of Hessian’s rank with respect to time.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.OA-2021-0048
Analysis in Theory and Applications, Vol. 39 (2023), Iss. 2 : pp. 147–162
Published online: 2023-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Harnack inequalities parabolic equations microscopic convexity.