Generalized motion by curvature with a Dirichlet condition
type: Item
instance of: scholarly article
title: Generalized motion by curvature with a Dirichlet condition
zbMATH Open document ID: 0810.35048
author: Peter Sternberg
author: William P. Ziemer
published in: Journal of Differential Equations
publication date: 1994-12-19T00:00:00Z
review text: The authors study existence, uniqueness and large time behaviour of the solution of the following problem \[ u_ t= |\nabla u| \text{ div} \Biggl( {{\nabla u} \over {|\nabla u|}} \Biggr), \quad u(x,t)= h(x) \text{ for } x\in \partial\Omega, \quad u(x,0)= g(x) \text{ for } x\in\Omega, \] where \(\Omega\subset \mathbb{R}^ n\) is a bounded domain and \(g\) and \(h\) are given data.
Mathematics Subject Classification ID: 35K65
Mathematics Subject Classification ID: 35K60
Mathematics Subject Classification ID: 35A05
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 703253
zbMATH Keywords: motion by curvature
reviewed by: Gheorghe Aniculăesei
MaRDI profile type: Publication
full work available at URL: jdeq.1994.1162
OpenAlex ID: W2017701515
DOI: 10.1006/JDEQ.1994.1162
description: scientific article; zbMATH DE number 703253