Results 61 to 70 of about 14,626,795 (163)

Invariance of regularity conditions under definable, locally Lipschitz, weakly bi-Lipschitz mappings

open access: yes, 2010
We describe the notion of a weakly Lipschitz mapping on a Cq stratification. We also distinguish a class of regularity conditions that are in some sense invariant under definable, locally Lipschitz and weakly bi-Lipschitz homeomorphisms.
Czapla, Małgorzata
core   +1 more source

The Stokes operator with Neumann boundary conditions in Lipschitz domains

open access: yes, 2011
International audienceIn the first part of the paper we give a satisfactory definition of the Stokes operator in Lipschitz domains in R n when boundary conditions of Neumann type are considered.
Monniaux, S.   +8 more
core   +1 more source

Real-valued Lipschitz functions and metric properties of functions

open access: yes, 2020
The purpose of this article is to explore the very general phenomenon that a function between metric spaces has a particular metric property if and only if whenever it is followed in a composition by an arbitrary realvalued Lipschitz function, the ...
Beer, Gerald   +1 more
core   +1 more source

On Improved Simpson-Type Inequalities via Convexity and Generalized Fractional Operators

open access: yesJournal of Mathematics
In this work, we develop novel Simpson-type inequalities for mappings with convex properties by employing operators for tempered fractional integrals. These findings expand upon and refine classical results, including those linked to Riemann–Liouville ...
Areej A. Almoneef   +3 more
doaj   +1 more source

Existence, uniqueness and stability of fuzzy fractional differential equations with local Lipschitz and linear growth conditions

open access: yesAdvances in Difference Equations, 2017
Fuzzy fractional differential equations (FFDEs) driven by Liu’s process are a type of fractional differential equations. In this paper, we intend to provide and prove a novel existence and uniqueness theorem for the solutions of FFDEs under local ...
SS Mansouri   +2 more
doaj   +1 more source

Global Lipschitz invariant center manifolds for ODEs with generalized trichotomies

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2017
In a Banach space, assuming that a linear nonautonomous differential equation $v'=A(t)v$ admits a very general type of trichotomy, we establish conditions for the existence of global Lipschitz invariant center manifold of the perturbed equation $v'=A(t)v+
António Bento, Cristina Costa
doaj   +1 more source

Lipschitz-type functions on metric spaces

open access: yes, 2008
In order to find metric spaces X for which the algebra Lip∗(X) of bounded Lipschitz functions on X determines the Lipschitz structure of X, we introduce the class of small-determined spaces.
Garrido Carballo, María Isabel   +1 more
core   +1 more source

The Lévy–Khintchine type operators with variable Lipschitz continuous coefficients generate linear or nonlinear Markov processes and semigroups [PDF]

open access: yes, 2011
Ito's construction of Markovian solutions to stochastic equations driven by a Lévy noise is extended to nonlinear distribution dependent integrands aiming at the effective construction of linear and nonlinear Markov semigroups and the corresponding ...
Kolokoltsov, V. N. (Vasiliĭ Nikitich)
core   +1 more source

Resistance Conditions and Applications

open access: yesAnalysis and Geometry in Metric Spaces, 2013
This paper studies analytic aspects of so-called resistance conditions on metric measure spaces with a doubling measure. These conditions are weaker than the usually assumed Poincaré inequality, but however, they are sufficiently strong to imply several ...
Kinnunen Juha, Silvestre Pilar
doaj   +1 more source

Weak slice conditions and Hölder imbeddings [PDF]

open access: yes, 2001
We introduce weak slice conditions and investigate imbeddings of Sobolev spaces in various Lipschitz-type ...
Buckley, Stephen M.   +1 more
core   +1 more source

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