Results 21 to 30 of about 103,412 (240)

Spectral Calculus and Lipschitz Extension for Barycentric Metric Spaces

Analysis and Geometry in Metric Spaces, 2013
The metric Markov cotype of barycentric metric spaces is computed, yielding the first class of metric spaces that are not Banach spaces for which this bi-Lipschitz invariant is understood.
Mendel Manor, Naor Assaf
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

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

Functions of perturbed noncommuting self-adjoint operators [PDF]

, 2014
We consider functions $f(A,B)$ of noncommuting self-adjoint operators $A$ and $B$ that can be defined in terms of double operator integrals. We prove that if $f$ belongs to the Besov class $B_{\be,1}^1(\R^2)$, then we have the following Lipschitz type ...
Aleksandrov, Aleksei, Nazarov, Fedor, Peller, Vladimir   +2 more
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

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

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

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

Existence and Continuous Dependence for Fractional Partial Hyperbolic Differential Equations

Journal of Function Spaces, 2015
This paper is concerned with a class of fractional hyperbolic partial differential equations with the Caputo derivative. Existence and continuous dependence results of solutions are obtained under the hypothesis of the Lipschitz condition without any ...
Qixiang Dong, Guangxian Wu, Lanping Zhu
doaj   +1 more source