L. Zajícek

activity

20062026

most citedOn the structure of sets with positive reach

25 citations · 46 across the 18 of their papers we have counts for

collaborators

Showing math.CAShow all

4 papers · 1 filter

math.CA2020

A characterization of sets in $R^{2}$ with DC distance function

Dušan Pokorný, Luděk Zajíček

We give a complete characterization of closed sets $F \subset R^{2}$ whose distance function $d_{F} := dist (\cdot, F)$ is DC (i.e., is the difference of two convex func…

math.CA2019

On sets in $R^{d}$ with DC distance function

Dušan Pokorný, Luděk Zajíček

We study closed sets $F \subset R^{d}$ whose distance function $d_{F} := dist (\cdot, F)$ is DC (i.e., is the difference of two convex functions on $R^{d}$ ). Our…

math.CA2010

A note on propagation of singularities of semiconcave functions of two variables

Ludek Zajicek

P. Albano and P. Cannarsa proved in 1999 that, under some applicable conditions, singularities of semiconcave functions in $R^{n}$ propagate along Lipschitz arcs. Further regularity…

math.CA2006★ 2 cited

Curves in Banach spaces which allow a $C^{2}$ parametrization

Jakub Duda, Ludek Zajicek

We give a complete characterization of those $f : [0, 1] \to X$ (where $X$ is a Banach space which admits an equivalent Fréchet smooth norm) which allow an equivalent $C^{2}$ parametri…

A characterization of sets in R2 with DC distance function

On sets in Rd with DC distance function

A note on propagation of singularities of semiconcave functions of two variables

Curves in Banach spaces which allow a C2 parametrization

A characterization of sets in $R^{2}$ with DC distance function

On sets in $R^{d}$ with DC distance function

Curves in Banach spaces which allow a $C^{2}$ parametrization