Approximation of planar BV homeomorphisms by diffeomorphisms

被引：6
|
作者：
Pratelli, Aldo [1 ]
Radici, Emauuela [2 ]
机构：
[1] Univ Erlangen Nurnberg, Dept Math, Cauerstr 11, D-90158 Erlangen, Germany
[2] Univ Aquila, Dept Informat Engn Comp Sci & Math, Via Vetoio 1, I-67100 Coppito, AQ, Italy
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2019年 / 276卷 / 03期
关键词：
Diffeomorphic approximation; Area strict convergence in BV;
D O I：
10.1016/j.jfa.2018.10.022
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that a planar BV homeomorphism can be approximated in the area strict sense, together with its inverse, with smooth or piecewise affine homeomorphisms. (C) 2018 Elsevier Inc. All rights reserved.
引用
收藏
页码：659 / 686
页数：28
相关论文
共 50 条
  • [1] Uniform approximation of homeomorphisms by diffeomorphisms
    Mueller, Stefan
    TOPOLOGY AND ITS APPLICATIONS, 2014, 178 : 315 - 319
  • [2] Approximation of planar Sobolev W2,1 homeomorphisms by piecewise quadratic homeomorphisms and diffeomorphisms
    Campbell, Daniel
    Hencl, Stanislav
    ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2021, 27
  • [3] Approximation of Piecewise Affine Homeomorphisms by Diffeomorphisms
    Carlos Mora-Corral
    Aldo Pratelli
    The Journal of Geometric Analysis, 2014, 24 : 1398 - 1424
  • [4] Approximation of Piecewise Affine Homeomorphisms by Diffeomorphisms
    Mora-Corral, Carlos
    Pratelli, Aldo
    JOURNAL OF GEOMETRIC ANALYSIS, 2014, 24 (03) : 1398 - 1424
  • [5] Strict limits of planar BV homeomorphisms
    Campbell, Daniel
    Hencl, Stanislav
    Kauranen, Aapo
    Radici, Emanuela
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2018, 177 : 209 - 237
  • [6] Classification of strict limits of planar BV homeomorphisms
    Campbell, Daniel
    Kauranen, Aapo
    Radici, Emanuela
    JOURNAL OF FUNCTIONAL ANALYSIS, 2023, 285 (03)
  • [7] On BV Homeomorphisms
    D'Onofrio, Luigi
    Maly, Jan
    Sbordone, Carlo
    Schiattarella, Roberta
    JOURNAL OF CONVEX ANALYSIS, 2021, 28 (02) : 549 - 568
  • [8] On the bi-Sobolev planar homeomorphisms and their approximation
    Pratelli, Aldo
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2017, 154 : 258 - 268
  • [9] Diffeomorphic approximation of planar Sobolev homeomorphisms in rearrangement invariant spaces
    Campbell, Daniel
    Greco, Luigi
    Schiattarella, Roberta
    Soudsky, Filip
    ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2021, 27
  • [10] Diffeomorphic approximation of planar Sobolev homeomorphisms in Orlicz Sobolev spaces
    Campbell, Daniel
    JOURNAL OF FUNCTIONAL ANALYSIS, 2017, 273 (01) : 125 - 205
12345