Description

• Title:
  On sets of constant distance from a planar set
• Creator:
  Pikuta, Piotr
• Description:
  In this paper we prove that $d$-boundaries $$ D_d=\{x:\roman{dist}( x,Z) =d\} $$ of a compact $Z \subset \mathbb{R}^{2}$ are closed absolutely continuous curves for $d$ greater than some constant depending on $Z$. It is also shown that $D_d$ is a trajectory of solution to the Cauchy Problem of a differential equation with a discontinuous right-hand side.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2003.06.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 21, No 2 (June 2003); 369 - 374;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2003.022/9609
• Subject:
  d-boundary;
  absolutely continuous curve;
  differential equation with discontinuous right-hand side;
  57N05;
  34A36
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2003.022
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other