Results 11 to 20 of about 5,171,937 (249)

Smooth Approximation of Lipschitz Functions on Finsler Manifolds [PDF]

open access: yesJournal of Function Spaces and Applications, 2013
We study the smooth approximation of Lipschitz functions on Finsler manifolds, keeping control on the corresponding Lipschitz constants. We prove that, given a Lipschitz function f:M→ℝ defined on a connected, second countable Finsler manifold M, for each
M. I. Garrido   +2 more
doaj   +2 more sources

Classification of Lipschitz simple function germs [PDF]

open access: yes, 2020
It was shown by Henry and Parusiński in 2003 that the bi-Lipschitz right equivalence of function germs admits moduli. In this article, we introduce the notion of Lipschitz simple function germ and present the complete classification in the complex case ...
Ruas, M., Nguyen, N., Trivedi, S.
core   +1 more source

Semilinear Poisson problems in Sobolev-Besov spaces on Lipschitz domains [PDF]

open access: yes, 2002
Extending recent work for the linear Poisson problem for the Laplacian in the framework of Sobolev-Besov spaces on Lipschitz domains by Jerison and Kenig [16], Fabes, Mendez and Mitrea [9], and Mitrea and Taylor [30], here we take up the task of ...
M. Mitrea   +3 more
core   +1 more source

On compactness and connectedness of the paratingent [PDF]

open access: yes, 2016
In this note we shall prove that for a continuous function \(\varphi : \Delta\to\mathbb{R}^n\), where \(\Delta\subset\mathbb{R}\),  the paratingent of \(\varphi\) at \(a\in\Delta\) is a non-empty and compact set in \(\mathbb{R}^n\) if and only if ...
Zygmunt, Wojciech
core   +2 more sources

Solution regularity and co-normal derivatives for elliptic systems with non-smooth coefficients on Lipschitz domains [PDF]

open access: yes, 2013
This is the post-print version of the Article. The official published version can be accessed from the link below - Copyright @ 2013 ElsevierElliptic PDE systems of the second order with coefficients from L∞ or Holder-Lipschitz spaces are considered in ...
Mikhailov, SE
core   +1 more source

Structure of level sets and Sard-type properties of Lipschitz maps [PDF]

open access: yes, 2013
We consider certain properties of maps of class C2 from Rd to Rd−1 that are strictly related to Sard’s theorem, and we show that some of them can be extended to Lipschitz maps, while others require some additional regularity.
Bianchini, S.   +8 more
core   +1 more source

On boundedly-convex functions on pseudo-topological vector spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2000
Notions of a boundedly convex function and of a Lipschitz-continuous function are extended to the case of functions on pseudo-topological vector spaces.
Vladimir Averbuch
doaj   +1 more source

On the Lipschitz operator algebras [PDF]

open access: yes, 2009
summary:In a recent paper by H. X. Cao, J. H. Zhang and Z. B. Xu an $\alpha $-Lipschitz operator from a compact metric space into a Banach space $A$ is defined and characterized in a natural way in the sence that $F:K\rightarrow A$ is a $\alpha ...
Shokri, A. A., Ebadian, A.
core   +1 more source

Estimation and compensation for Lipschitz nonlinear discrete-time systems subjected to unknown measurement delays [PDF]

open access: yes, 2015
Unknown measurement delays usually degrade system performance, and even damage the system under output feedback control, which motivates us to develop an effective method to attenuate or offset the adverse effect from the measurement delays.
Gao, Zhiwei
core   +1 more source

Fourier transforms of Dini-Lipschitz functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1986
It is well known that if Lipschitz conditions of a certain order are imposed on a function f(x), then these conditions affect considerably the absolute convergence of the Fourier series and Fourier transforms of f.
M. S. Younis
doaj   +1 more source

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