Approximation of planar BV homeomorphisms by diffeomorphisms
type: Item
instance of: scholarly article
title: Approximation of planar BV homeomorphisms by diffeomorphisms
zbMATH Open document ID: 1426.41019
author: Aldo Pratelli
author: Emanuela Radici
published in: Journal of Functional Analysis
publication date: 2018-12-18T00:00:00Z
full work available at URL: http://hdl.handle.net/11568/1017208
review text: The authors prove that any homeomorphism of bounded variation in the plane can be approximated by a sequence of diffeomorphisms (or, equivalently, by a sequence of piecewise affine homeomorphisms). They use the ``area strict'' convergence, therefore their approximation result holds also in both the strict and the weak* sense.
Mathematics Subject Classification ID: 41A29
Mathematics Subject Classification ID: 26B10
Mathematics Subject Classification ID: 46E35
zbMATH DE Number: 6994780
zbMATH Keywords: diffeomorphic approximation
zbMATH Keywords: area strict convergence in BV
reviewed by: George Stoica
MaRDI profile type: Publication
OpenAlex ID: W2900637525
cites work: Q4954179
cites work: Q4284698
cites work: Diffeomorphic approximation of planar Sobolev homeomorphisms in Orlicz-Sobolev spaces
cites work: On the total variations for the inverse of a \(BV\)-homeomorphism
cites work: Smooth approximation of bi-Lipschitz orientation-preserving homeomorphisms
cites work: Lower semicontinuity and continuity of functions of measures with respect to the strict convergence
cites work: Homeomorphisms of bounded variation
cites work: Diffeomorphic approximation of \(W^{1,1}\) planar Sobolev homeomorphisms
cites work: Diffeomorphic approximation of Sobolev homeomorphisms
cites work: Characterization of generalized gradient Young measures generated by sequences in \(W^{1,1}\) and BV
cites work: Relaxation of signed integral functionals in BV
cites work: Approximation of piecewise affine homeomorphisms by diffeomorphisms
cites work: On the bi-Sobolev planar homeomorphisms and their approximation
cites work: On the planar minimal BV extension problem
cites work: A planar Sobolev extension theorem for piecewise linear homeomorphisms
cites work: STRICTLY CONTINUOUS EXTENSION OF FUNCTIONALS WITH LINEAR GROWTH TO THE SPACE BV
Wikidata QID: Q128939969
DOI: 10.1016/J.JFA.2018.10.022
description: scientific article; zbMATH DE number 6994780