Barriers for a class of geometric evolution problems
type: Item
instance of: scholarly article
title: Barriers for a class of geometric evolution problems
zbMATH Open document ID: 0990.35070
author: Giovanni Bellettini
author: M. Novaga
published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
publication date: 2002-08-15T00:00:00Z
full work available at URL: https://eudml.org/doc/244151
review text: Minimal barriers have been introduced by De Giorgi in order to provide a notion of weak solution for partial differential equations as, for example, the mean curvature flow, which is suitable to describe the evolution even past singularities. In this note the authors announce general results on minimal barriers and theorems comparing minimal barriers and viscosity solutions which are proved in [J. Differ. Equations 139, 76-103 (1997; Zbl 0882.35028), and Ann. Sc. Norm. Super. Pisa, Cl. Sci. (4) 26, 97-131 (1998; Zbl 0904.35041)]. For details see the corresponding reviews.
Mathematics Subject Classification ID: 35K60
Mathematics Subject Classification ID: 49Q20
zbMATH DE Number: 1103002
zbMATH Keywords: minimal barriers
zbMATH Keywords: geometric evolution equations
zbMATH Keywords: viscosity solutions
reviewed by: Barbara Priwitzer
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1103002