Results 71 to 80 of about 33,013 (283)
On comparison of fractional Laplacians [PDF]
Nonlinear Analysis, 2022 For $s>-1$, $s\notin\mathbb N_0$, we compare two natural types of fractional Laplacians $(- )^s$, namely, the restricted Dirichlet and the spectral Neumann ones. We show that for the quadratic form of their difference taken on the space $\tilde{H}^s( )$ is positive or negative depending on whether the integer part of $s$ is even or odd.
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Advanced Science, EarlyView.This study harnesses hydrodynamic flows to generate, confine and stimulate stem cell spheroids, enabling the large‐scale production of extracellular vesicles (EVs). This innovative method not only streamlines spheroid formation and subsequent EV release in a single, integrated process, but also ensures the generation of EVs with enhanced biological ...
Solène Lenoir +7 more
wiley +1 more source
Fractional discrete Laplacian versus discretized fractional Laplacian
, 2015 25 pages, 13 ...
Ciaurri, Ó. +4 more
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British Journal of Clinical Pharmacology, EarlyView.Aim Cannabis‐based medicines are gaining interest and being explored for new therapeutic indications, many of which commonly affect older medical patients. As most previous studies of the population pharmacokinetics of cannabinoids have been performed in healthy adults, this study aimed to investigate the population pharmacokinetics of Δ9 ...
Ida Klitzing Storgaard +12 more
wiley +1 more source
Fractional powers and singular perturbations of quantum differential Hamiltonians
, 2018 We consider the fractional powers of singular (point-like) perturbations of the Laplacian, and the singular perturbations of fractional powers of the Laplacian, and we compare such two constructions focusing on their perturbative structure for resolvents
Michelangeli, Alessandro +2 more
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Artificial intelligence‐enabled digital biomedical engineering
BMEMat, EarlyView.This review presents a comprehensive overview, emphasizing the critical role of artificial intelligence (AI) in biomedical engineering. It further explores the implications of AI for future biomedical research and clinical practice, aiming to provide theoretical insights for academic investigation and technological innovation in the field.
Peiran Song +6 more
wiley +1 more source
Odometer of long-range sandpiles in the torus: mean behaviour and scaling limits [PDF]
, 2018 In \cite{Cipriani2016}, the authors proved that with the appropriate rescaling, the odometer of the (nearest neighbours) Divisible Sandpile in the unit torus converges to the bi-Laplacian field.
Chiarini, Leandro +2 more
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Strong unique continuation for the higher order fractional Laplacian
, 2019 In this article we study the strong unique continuation property for solutions of higher order (variable coefficient) fractional Schr\"odinger operators.
García-Ferrero, María-Ángeles +1 more
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Properties of Bisdiazo Compounds and Their Derived Carbenes via Density Functional Theory
ChemPhysChem, EarlyView.Density function theory (DFT) calculation at level of B3LYP‐(D3)BJ/6‐311G** reveals the fundamental electronic structure of substituted bisdiazo compounds as well as their derived carbene and biscarbene species at both ground and excited states. Extension to physisorption onto single‐layer graphene provides more insight of the surface behaviour of this
Xiaosong Liu, Mark Gerard Moloney
wiley +1 more source
Transference of Fractional Laplacian Regularity [PDF]
, 2014 In this note we show how to obtain regularity estimates for the fractional Laplacian on the multidimensional torus $\mathbb{T}^n$ from the fractional Laplacian on $\mathbb{R}^n$. Though at first glance this may seem quite natural, it must be carefully precised. A reason for that is the simple fact that $L^2$ functions on the torus can not be identified
Roncal, L., Stinga, P.R.
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