Smooth homeomorphic approximation of piecewise affine homeomorphisms

IF 0.6 4区数学 Q3 MATHEMATICS

Rendiconti Lincei-Matematica e Applicazioni Pub Date : 2021-02-12 DOI:10.4171/rlm/946

D. Campbell, Filip Soudsk'y

引用次数: 0

Abstract

Given any f a locally finitely piecewise affine homeomorphism of Ω ⊂ R n onto ∆ ⊂ R in W , 1 ≤ p < ∞ and any ε > 0 we construct a smooth injective map f̃ such that ‖f − f̃‖W (Ω,R) < ε.

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分段仿射同胚的光滑同胚逼近

给定任意f在W中Ω∧R n到∆∧R上的一个局部有限片段仿射同纯，1≤p <∞和任意ε >，我们构造了一个光滑内射映射f _使得‖f−f _‖W (Ω，R) < ε。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Rendiconti Lincei-Matematica e Applicazioni MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The journal is dedicated to the publication of high-quality peer-reviewed surveys, research papers and preliminary announcements of important results from all fields of mathematics and its applications.