A family of curvature flows on surfaces with boundary
type: Item
instance of: scholarly article
title: A family of curvature flows on surfaces with boundary
zbMATH Open document ID: 1036.53044
author: Simon Brendle
published in: Mathematische Zeitschrift
publication date: 2003-06-02T00:00:00Z
review text: Let \(M\) be a compact surface with boundary. In the present paper, a family of evolution equations is constructed and it is shown that the solutions which exist for all times, converge exponentially to a metric with constant Gauss curvature in the interior and constant geodesic curvature on the boundary. The proof is based on integral estimates and uses results of \textit{X. Chen} [Int. Math. Res. Not. 2001, No. 6, 275--297 (2001; Zbl 1078.53065)] and \textit{M. Struwe} [Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 1, 247--274 (2002; Zbl 1150.53025)].
reviewed by: Cornelia-Livia Bejan
Mathematics Subject Classification ID: 53C44
Mathematics Subject Classification ID: 35K55
zbMATH DE Number: 1922568
zbMATH Keywords: surface
zbMATH Keywords: curvature flow
zbMATH Keywords: constant Gauss curvature
zbMATH Keywords: constant geodesic curvature
MaRDI profile type: Publication
full work available at URL: s00209-002-0439-1
OpenAlex ID: W2062116981
DOI: 10.1007/S00209-002-0439-1
description: scientific article; zbMATH DE number 1922568