Aleksandrov reflection and nonlinear evolution equations. I: The \(n\)-sphere and \(n\)-ball
type: Item
instance of: scholarly article
title: Aleksandrov reflection and nonlinear evolution equations. I: The \(n\)-sphere and \(n\)-ball
zbMATH Open document ID: 0851.58041
DOI: 10.1007/BF01254346
author: Bennett Chow
author: Robert Gulliver
published in: Calculus of Variations and Partial Differential Equations
publication date: 1996-11-24T00:00:00Z
review text: The authors consider fully nonlinear degenerate parabolic equations on the \(n\)-sphere \(S^n\). The problem corresponds to the evolution of a hypersurface in Euclidean space by a general function of the principal curvatures. Using Alexandrov reflection method a boundedness estimate on the gradient is proved. A generalization of the estimate to consider fully nonlinear degenerate parabolic equations on balls is also considered.
Mathematics Subject Classification ID: 58J35
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 53C21
zbMATH DE Number: 881148
zbMATH Keywords: \(n\)-ball
zbMATH Keywords: parabolic equations
zbMATH Keywords: \(n\)-sphere
reviewed by: Marco Biroli
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 881148