On sets of constant distance from a planar set
Słowa kluczowe
d-boundary, absolutely continuous curve, differential equation with discontinuous right-hand sideAbstrakt
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.Pobrania
Opublikowane
2003-06-01
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1.
PIKUTA, Piotr. On sets of constant distance from a planar set. Topological Methods in Nonlinear Analysis [online]. 1 czerwiec 2003, T. 21, nr 2, s. 369–374. [udostępniono 22.7.2024].
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