On sets of constant distance from a planar set
Keywords
d-boundary, absolutely continuous curve, differential equation with discontinuous right-hand sideAbstract
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.Downloads
Published
2003-06-01
How to Cite
1.
PIKUTA, Piotr. On sets of constant distance from a planar set. Topological Methods in Nonlinear Analysis. Online. 1 June 2003. Vol. 21, no. 2, pp. 369 - 374. [Accessed 26 April 2024].
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