Results 51 to 60 of about 3,261,817 (215)

Fragmentation–Coagulation Processes With Advection or Diffusion in Space

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we consider a continuous fragmentation–coagulation model in which the reacting particles can be transported in physical space through either advection or diffusion. We prove new results on the generation of C0$$ {C}_0 $$‐semigroups with parameter and use them to show that the abstract Cauchy problem associated with a more ...
Jacek Banasiak, Nduduzo Majozi
wiley   +1 more source

Nonlocal hyperbolic Stokes system with variable exponent of nonlinearity

open access: yesМатематичні Студії, 2023
In this paper, we study the problem for a nonlinear hyperbolic Stokes system of the second order with an integral term. Sufficient conditions for the uniqueness of the weak solution of this problem are found in a bounded domain. The nonlinear term of the
O. M. Buhrii   +2 more
doaj   +1 more source

Optimal Homogeneous ℒp$$ {\boldsymbol{\mathcal{L}}}_{\boldsymbol{p}} $$‐Gain Controller

open access: yesInternational Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT Nonlinear ℋ∞$$ {\mathscr{H}}_{\infty } $$‐controllers are designed for arbitrarily weighted, continuous homogeneous systems with a focus on systems affine in the control input. Based on the homogeneous ℒp$$ {\mathcal{L}}_p $$‐norm, the input–output behavior is quantified in terms of the homogeneous ℒp$$ {\mathcal{L}}_p $$‐gain as a ...
Daipeng Zhang   +3 more
wiley   +1 more source

Uniform Boundedness of Kantorovich Operators in Variable Exponent Lebesgue Spaces

open access: yes, 2019
In this paper, the Kantorovich operators K-n, n is an element of N are shown to be uniformly bounded in variable exponent Lebesgue spaces on the closed interval [0, 1].
Akbulut, Sezgin   +2 more
core   +1 more source

Examining Nonlinear Fredholm Equations in Lebesgue Spaces with Variable Exponents

open access: yesSymmetry, 2023
We investigate the existence of solutions for the Fredholm integral equation Φ(ϑ)=G(ϑ,Φ(ϑ))+∫01F(ϑ,ζ,Φ(ζ))dζ, for ϑ∈[0,1], in the setting of the modular function spaces Lρ. We also derive an application of this research within the framework of variable exponent Lebesgue spaces Lp(·) subject to specific conditions imposed on the exponent function p ...
Mostafa Bachar   +2 more
openaire   +2 more sources

Discrete Implementations Modify the Intuition of Final Set Adjustment in Barrier Function Based Control

open access: yesInternational Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This paper establishes an implementation‐aware framework for Barrier Function Adaptation (BFA) and shows that discrete‐time realizations fundamentally alter the logic of final‐set adjustment. In particular, sufficient conditions are derived to preserve the key benefits of BFA (predefined performance, gain adaptation with uncertain perturbation
Luis Ovalle   +3 more
wiley   +1 more source

Exact Robust Filtering and Differentiation Based on Sliding Modes and Homogeneity

open access: yesInternational Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This article addresses the problem of online estimation of the derivatives of a signal corrupted by measurement noise. The measured signal is modeled as the sum of a smooth nominal component and a uniformly bounded noise term. A key objective is to attenuate the effect of high‐frequency noise.
Jaime A. Moreno, Arie Levant
wiley   +1 more source

Characterization of Lipschitz functions via the commutators of multilinear fractional integral operators in variable Lebesgue spaces

open access: yesAnalysis and Geometry in Metric Spaces, 2023
The main purpose of this article is to establish some new characterizations of the (variable) Lipschitz spaces in terms of the boundedness of commutator of multilinear fractional Calderón-Zygmund integral operators in the context of the variable exponent
Zhang Pu, Wu Jianglong
doaj   +1 more source

Differentiable Randers‐Finsler Eikonal Solvers

open access: yesComputer Graphics Forum, EarlyView.
Abstract Fast and differentiable solvers for anisotropic and asymmetric distance fields are a key primitive in geometry processing, enabling gradient‐based optimization over metrics, drift fields, and downstream objectives that depend on geodesic distances and geodesics.
Barak Gahtan   +2 more
wiley   +1 more source

Circles of Confidence for Multi‐Label Geometry Completion

open access: yesComputer Graphics Forum, EarlyView.
Abstract Inside–outside classification is widely used for geometry processing tasks such as surface reconstruction, geometry completion, and calculating signed distance fields. We introduce a new integral formulation of this problem, which assigns confidence scores that points are inside or outside, given incomplete boundary geometry.
Z. Wei   +4 more
wiley   +1 more source

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