Results 21 to 30 of about 8,616 (247)

Sobolev spaces on non-Lipschitz subsets of Rn with application to boundary integral equations on fractal screens [PDF]

, 2017
We study properties of the classical fractional Sobolev spaces on non-Lipschitz subsets of Rn. We investigate the extent to which the properties of these spaces, and the relations between them, that hold in the well-studied case of a Lipschitz open set ...
A Buffa, A. Moiola, AM Caetano, C Amrouche, C Puente-Baliarda, D. P. Hewett, DH Werner, DR Adams, E Nezza Di, EM Stein, EP Stephan, G Grubb, G Srivatsun, GC Hsiao, GF Simmons, H Brezis, H Triebel, H Triebel, H Triebel, H Triebel, J-L Lions, JB Conway, JC Polking, JP Gianvittorio, K Falconer, L Hörmander, L Tartar, LE Fraenkel, LG Rogers, M Costabel, M Costabel, O Steinbach, OD Kellogg, RA Adams, RH Nochetto, RS Strichartz, S. N. Chandler-Wilde, SA Sauter, SN Chandler-Wilde, SN Chandler-Wilde, SN Chandler-Wilde, T Ha-Duong, T Kato, T Runst, VG Maz’ya, VG Maz’ya, W Littman, W Littman, W McLean, W Rudin, W Sickel, X Claeys   +51 more
core   +3 more sources

Exponential Decay for a System of Equations with Distributed Delays

Journal of Applied Mathematics, 2015
We prove convergence of solutions to zero in an exponential manner for a system of ordinary differential equations. The feature of this work is that it deals with nonlinear non-Lipschitz and unbounded distributed delay terms involving non-Lipschitz and ...
Nasser-Eddine Tatar
doaj   +1 more source

A self-adaptive inertial extragradient method for a class of split pseudomonotone variational inequality problems

Open Mathematics, 2023
In this article, we study a class of pseudomonotone split variational inequality problems (VIPs) with non-Lipschitz operator. We propose a new inertial extragradient method with self-adaptive step sizes for finding the solution to the aforementioned ...
Owolabi Abd-Semii Oluwatosin-Enitan, Alakoya Timilehin Opeyemi, Mewomo Oluwatosin Temitope   +2 more
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

Numerical Solutions of Stochastic Differential Equations Driven by Poisson Random Measure with Non-Lipschitz Coefficients

Journal of Applied Mathematics, 2012
The numerical methods in the current known literature require the stochastic differential equations (SDEs) driven by Poisson random measure satisfying the global Lipschitz condition and the linear growth condition.
Hui Yu, Minghui Song
doaj   +1 more source

On practical ℎ-observer design for nonlinear non-autonomous dynamical systems with disturbances [PDF]

Archives of Control Sciences
In this paper, a particular form of practical ℎ-observers for piecewise continuous Lipschitz, one-sided piecewise continuous Lipschitz systems and quasi-one-sided piecewise continuous Lipschitz systems is extended to nonlinear non-autonomous dynamical ...
Manel Alaya, Hanen Damak, Nizar Hadj Taieb, Mohamed Ali Hammami   +3 more
doaj   +1 more source

Some Regularity Properties on Bolza problems in the Calculus of Variations

Comptes Rendus. Mathématique, 2022
The paper summarizes the main core of the last results that we obtained in [8, 4, 17] on the regularity of the value function for a Bolza problem of a one-dimensional, vectorial problem of the calculus of variations. We are concerned with a nonautonomous
Bernis, Julien, Bettiol, Piernicola, Mariconda, Carlo   +2 more
doaj   +1 more source

On uniqueness for some non-Lipschitz SDE

Journal of Differential Equations, 2017
18 ...
Alabert, Aureli, León, Jorge A.
openaire   +3 more sources

Non-Lipschitz minimizers of smooth uniformly convex functionals [PDF]

Proceedings of the National Academy of Sciences, 2002
We construct non-Lipschitz minimizers of smooth, uniformly convex functionals of type I ( u ) = ∫ Ω f ( Du ( x )) dx. Our method is based on the use of null Lagrangians.
Sverák, Vladimír, Yan, Xiaodong
openaire   +3 more sources

Nonexplosion and Pathwise Uniqueness of Stochastic Differential Equation Driven by Continuous Semimartingale with Non-Lipschitz Coefficients

Journal of Mathematics, 2015
We study a class of stochastic differential equations driven by semimartingale with non-Lipschitz coefficients. New sufficient conditions on the strong uniqueness and the nonexplosion are derived for d-dimensional stochastic differential equations on Rd (
Jinxia Wang
doaj   +1 more source