Results 31 to 40 of about 1,266,780 (349)
AIMS Mathematics, 2021 Our goal of this article is to introduce a new product operator that will be called $ {D^n_u} S_{\phi} $ the product of weighted differentiation and superposition operators from $ {H}^{\infty} $ to Zygmund spaces.
A. Kamal, M. Hamza. Eissa
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Learning Stochastic Dynamical System via Flow Map Operator [PDF]
Journal of Computational Physics, 2023 We present a numerical framework for learning unknown stochastic dynamical systems using measurement data. Termed stochastic flow map learning (sFML), the new framework is an extension of flow map learning (FML) that was developed for learning ...
Yu'an Chen, D. Xiu
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Some results on the space of bounded second κ-variation functions
AIMS Mathematics, 2023 In this paper, we prove that if a globally Lipschitz non-autonomous superposition operator maps the space of functions of bounded second $ \kappa $-variation into itself then its generator function satisfies a Matkowski condition.
Jurancy Ereú +3 more
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Continuous pumping and control of mesoscopic superposition state in a lossy QED cavity [PDF]
, 2000 Here we consider the continuous pumping of a dissipative QED cavity and derive the time-dependent density operator of the cavity field prepared initially as a superposition of mesoscopic coherent states. The control of the coherence of this superposition
B. R. Mollow +27 more
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Learning the Solution Operator of Boundary Value Problems using Graph Neural Networks [PDF]
arXiv.org, 2022 As an alternative to classical numerical solvers for partial differential equations (PDEs) subject to boundary value constraints, there has been a surge of interest in investigating neural networks that can solve such problems efficiently.
Winfried Lotzsch +2 more
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On Generalized Step-Functions and Superposition Operators [PDF]
gmj, 2004 Abstract For a given σ-ideal of sets, the notion of a generalized stepfunction is introduced and investigated in connection with the problem of sup-measurability of certain functions of two variables, regarded as superposition operators.
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On solutions of some delay Volterra integral problems on a half-line
Nonlinear Analysis, 2021 In this paper, we study the existence of a.e. monotonic solutions of some general delay integral problems for both fractional and integer orders in the space of Lebesgue integrable functions on the interval R+ = [0;1) and in the space of locally ...
Mohamed M.A. Metwali, Kinga Cichoń
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Weighted superposition operators on Fock spaces [PDF]
RACSAM, 2022 We characterize all pairs of entire functions (u,ψ)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}
Tesfa Mengestie
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Multi-scale homogenization with bounded ratios and Anomalous Slow Diffusion [PDF]
, 2002 We show that the effective diffusivity matrix $D(V^n)$ for the heat operator $\partial_t-(\Delta/2-\nabla V^n \nabla)$ in a periodic potential $V^n=\sum_{k=0}^n U_k(x/R_k)$ obtained as a superposition of Holder-continuous periodic potentials $U_k$ (of ...
Ben-Arous, Gérard, Owhadi, Houman
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Operational models of temperature superpositions
, 2021 A quantum system and a thermal bath can reach thermal equilibrium through an interaction, whereupon the system acquires the same temperature as the bath. But how does a delocalised quantum system thermalise with a bath whose local temperature varies, as, for example, in the Tolman effect?
Wood, Carolyn E. +3 more
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