Linear parabolic operators of Monge-Ampère. I: Nondivergence-form degenerate/singular PDEs
type: Item
instance of: scholarly article
title: Linear parabolic operators of Monge-Ampère. I: Nondivergence-form degenerate/singular PDEs
zbMATH Open document ID: 1505.35258
author: Diego Maldonado
published in: Journal of Differential Equations
publication date: 2022-12-16T00:00:00Z
review text: A Harnack inequality for nonnegative strong solutions to inhomogeneous, linear, nondivergence-form parabolic PDEs of Monge-Ampère type is proved. Such parabolic PDEs are shaped by convex functions having certain geometric properties and they include instances of Grushin-type parabolic PDEs as well as other PDEs whose degeneracies/singularities are quantified by the geometric properties of the shaping convex functions. This interesting paper extends, in a non-trivial way, a previous result obtained by the author.
reviewed by: Vincenzo Vespri
Mathematics Subject Classification ID: 35K96
Mathematics Subject Classification ID: 35K10
Mathematics Subject Classification ID: 35K67
Mathematics Subject Classification ID: 35K65
zbMATH DE Number: 7633390
zbMATH Keywords: degenerate/singular parabolic PDEs
zbMATH Keywords: linearized parabolic Monge-Ampère operator
zbMATH Keywords: Grushin-type parabolic PDEs
zbMATH Keywords: Monge-Ampère quasi-metric structure
MaRDI profile type: Publication
full work available at URL: j.jde.2022.11.032
OpenAlex ID: W4310347505
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DOI: 10.1016/J.JDE.2022.11.032
description: scientific article; zbMATH DE number 7633390