TY - JOUR
AU - Pikuta, Piotr
PY - 2003/06/01
Y2 - 2022/01/23
TI - On sets of constant distance from a planar set
JF - Topological Methods in Nonlinear Analysis
JA - TMNA
VL - 21
IS - 2
SE -
DO -
UR - https://apcz.umk.pl/TMNA/article/view/TMNA.2003.022
SP - 369 - 374
AB - In this paper we prove that $d$-boundaries$$D_d=\{x:\roman{dist}( x,Z) =d\} $$ of acompact $Z \subset \mathbb{R}^{2}$ are closed absolutely continuouscurves for $d$ greater than some constant depending on $Z$. It isalso shown that $D_d$ is a trajectory of solution to the CauchyProblem of a differential equation with a discontinuous right-handside.
ER -