Hölder continuity and Harnack estimate for non-homogeneous parabolic equations
type: Item
instance of: scholarly article
title: Hölder continuity and Harnack estimate for non-homogeneous parabolic equations
author: Vedansh Arya
author: Vesa Julin
published in: Mathematische Annalen
publication date: 2025-01-23T00:00:00Z
review text: In this paper, the authors extend the results obtained in a previous paper by the first author on the intrinsic Harnack inequality for non-homogeneous parabolic equations in non-divergence form. A forward-in-time intrinsic Harnack inequality is proved. This intrinsic inequality implies Hölder continuity of the solutions. A global-scale Harnack-type estimate that quantifies the strong minimum principle is also established. In the time-independent setting, this result, together with those proved in the previous paper, provides an alternative proof of a generalized Harnack inequality proved by the second author.
reviewed by: Vincenzo Vespri
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35B45
zbMATH DE Number: 7974015
zbMATH Keywords: non-divergence form equation
zbMATH Keywords: forward-in-time Harnack inequality
MaRDI profile type: Publication
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DOI: 10.1007/S00208-024-02979-6
description: scientific article; zbMATH DE number 7974015