Results 31 to 40 of about 3,827,469 (279)

Exceptional families of measures on Carnot groups

Analysis and Geometry in Metric Spaces, 2023
We study the families of measures on Carnot groups that have vanishing pp-module, which we call Mp{M}_{p}-exceptional families. We found necessary and sufficient Conditions for the family of intrinsic Lipschitz surfaces passing through a common point to ...
Franchi Bruno, Markina Irina
doaj   +1 more source

Weak observability estimates for 1-D wave equations with rough coefficients [PDF]

, 2013
In this paper we prove observability estimates for 1-dimensional wave equations with non-Lipschitz coefficients. For coefficients in the Zygmund class we prove a "classical" observability estimate, which extends the well-known observability results in ...
Fanelli, Francesco, Zuazua, Enrique
core   +4 more sources

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

, 2009
In this paper we describe the notion of a weak lipschitzianity of a mapping on a $C^{q}$ stratification. We also distinguish a class of regularity conditions that are in some sense invariant under definable, locally Lipschitz and weakly bi-Lipschitz ...
Czapla, Malgorzata
core   +1 more source

The extension of two-Lipschitz operators

Applied General Topology
The paper deals with some further results concerning the class of two-Lipschitz operators. We prove first an isometric isomorphism identification of two-Lipschitz operators and Lipschitz operators.
Elhadj Dahia
doaj   +1 more source

Mixed Caputo Fractional Neutral Stochastic Differential Equations with Impulses and Variable Delay

Fractal and Fractional, 2021
In this manuscript, a new class of impulsive fractional Caputo neutral stochastic differential equations with variable delay (IFNSDEs, in short) perturbed by fractional Brownain motion (fBm) and Poisson jumps was studied.
Mahmoud Abouagwa, Rashad A. R. Bantan, Waleed Almutiry, Anas D. Khalaf, Mohammed Elgarhy   +4 more
doaj   +1 more source

Sobolev mappings: Lipschitz density is not a bi-Lipschitz invariant of the target

, 2006
We study a question of density of Lipschitz mappings in the Sobolev class of mappings from a closed manifold into a singular space. The main result of the paper shows that if we change the metric in the target space to a bi-Lipschitz equivalent one, than
Hajlasz, Piotr
core   +2 more sources

An interpolative class of two-Lipschitz mappings of composition type

Applied General Topology
The paper deals with some further results concerning the class of two-Lipschitz operators. We prove first an isometric isomorphism identification of two-Lipschitz operators and Lipschitz operators.
Khaled Hamidi, Abdelhamid Tallab
doaj   +1 more source

JACOBI TRANSFORM OF \((\nu, \gamma, p)\)-JACOBI–LIPSCHITZ FUNCTIONS IN THE SPACE \(\mathrm{L}^{p}(\mathbb{R}^{+},\Delta_{(\alpha,\beta)}(t) dt)\)

Ural Mathematical Journal, 2019
Using a generalized translation operator, we obtain an analog of Younis' theorem [Theorem 5.2, Younis M.S. Fourier transforms of Dini–Lipschitz functions, Int. J. Math. Math. Sci., 1986] for the Jacobi transform for functions from the \((\nu, \gamma, p)\)
Mohamed El Hamma, Hamad Sidi Lafdal, Nisrine Djellab, Chaimaa Khalil   +3 more
doaj   +1 more source

Moduli of Continuity for Exponential Lipschitz Classes [PDF]

Transactions of the American Mathematical Society, 1977
Let Ψ \Psi be a convex function, and let f be a real-valued function on [0, 1]. Let a modulus of continuity associated to Ψ \Psi be given as \[ Q Ψ ( δ , f ) = inf { λ :
openaire   +1 more source

Contact equations, Lipschitz extensions and isoperimetric inequalities

, 2009
We characterize locally Lipschitz mappings and existence of Lipschitz extensions through a first order nonlinear system of PDEs. We extend this study to graded group-valued Lipschitz mappings defined on compact Riemannian manifolds.
Magnani, Valentino
core   +2 more sources