Regularity results on the parabolic Monge-Ampère equation with \(VMO\) type data
type: Item
instance of: scholarly article
title: Regularity results on the parabolic Monge-Ampère equation with \(VMO\) type data
zbMATH Open document ID: 1284.35246
author: Lin Tang
published in: Journal of Differential Equations
publication date: 2014-02-05T00:00:00Z
review text: The author studies the interior regularity of weak solutions to the parabolic Monge-Ampère equation \[ -u_t \text{det}D^2u=f(x,t)\quad \text{ in } Q=\Omega\times (0,T] \] where \(u\) is a parabolic convex in \(Q\) and \(f\) is positive, bounded, satisfies a VMO-type condition, and some integrability conditions for \(f_t.\) There are obtained estimates for the \(L^p\)-norms and the Orlicz norms of solutions.
Mathematics Subject Classification ID: 35K96
Mathematics Subject Classification ID: 35J96
Mathematics Subject Classification ID: 35B65
zbMATH DE Number: 6255274
zbMATH Keywords: parabolic Monge-Ampère equation
zbMATH Keywords: VMO type function
zbMATH Keywords: weak solutions
reviewed by: Lubomira Softova
MaRDI profile type: Publication
full work available at URL: j.jde.2013.05.019
OpenAlex ID: W1967448527
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DOI: 10.1016/J.JDE.2013.05.019
description: scientific article