A simple proof of the Rademacher theorem
Aleš Nekvinda, Luděk Zajíček (1988)
Časopis pro pěstování matematiky
Similarity:
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
Displaying similar documents to “Functions satisfying an integral Lipschitz condition”
A simple proof of the Rademacher theorem
An elementary proof of the one-dimensional Rademacher theorem
Luděk Zajíček (1992)
Mathematica Bohemica
Similarity:
An elementary short proof of the one-dimensional Rademacher theorem on differentiability of Lipschitz functions is given.
Bi-Lipschitz trivialization of the distance function to a stratum of a stratification
Adam Parusiński (2005)
Annales Polonici Mathematici
Similarity:
Given a Lipschitz stratification 𝒳 that additionally satisfies condition (δ) of Bekka-Trotman (for instance any Lipschitz stratification of a subanalytic set), we show that for every stratum N of 𝒳 the distance function to N is locally bi-Lipschitz trivial along N. The trivialization is obtained by integration of a Lipschitz vector field.
Averaging for ordinary differential equations perturbed by a small parameter
Mustapha Lakrib, Tahar Kherraz, Amel Bourada (2016)
Mathematica Bohemica
Similarity:
In this paper, we prove and discuss averaging results for ordinary differential equations perturbed by a small parameter. The conditions we assume on the right-hand sides of the equations under which our averaging results are stated are more general than those considered in the literature. Indeed, often it is assumed that the right-hand sides of the equations are uniformly bounded and a Lipschitz condition is imposed on them. Sometimes this last condition is relaxed to the uniform continuity...