Results 131 to 140 of about 416,500 (289)
Small, EarlyView.Murphy et al present an optimized co‐culture protocol for immortalized cell line vasculogenesis. Here, immortalized co‐cultures form reproducible microvessel networks across 31‐days, while gradient microchips enable simultaneous mesenchymal stem cell (MSC) adipogenesis and endothelial cell (EC) vasculogenesis.
Ashley R. Murphy +2 more
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On a coupled system of fractional sum-difference equations with p-Laplacian operator
Advances in Difference Equations, 2020 In this paper, we propose a nonlocal fractional sum-difference boundary value problem for a coupled system of fractional sum-difference equations with p-Laplacian operator. The problem contains both Riemann–Liouville and Caputo fractional difference with
Pimchana Siricharuanun +2 more
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, 2014 The 1D discrete fractional Laplacian operator on a cyclically closed (periodic) linear chain with finitenumber $N$ of identical particles is introduced. We suggest a "fractional elastic harmonic potential", and obtain the $N$-periodic fractionalLaplacian
Collet, Bernard +3 more
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High Voltage, EarlyView.ABSTRACT Electrical insulation faults produce partial discharges (PD), which can be analysed to identify specific types of defects. PD clustering is a widely used method to identify PD sources, although its success depends largely on the feature maps used.
Jannery Rivas +4 more
wiley +1 more source
The fractional Laplacian: a primer
, 2023 In this note we give a glimpse of the fractional Laplacian. In particular, we bring several definitions of this non-local operator and series of proofs of its properties. It is structured in a way as to show that several of those properties are natural extensions of their local counterparts, with some key differences.
openaire +2 more sources
Fractional Laplacian with singular drift [PDF]
Studia Mathematica, 2011 For $ \in (1,2)$ we consider the equation $\partial_t u = ^{ /2} u - r b \cdot \nabla u$, where $b$ is a divergence free singular vector field not necessarily belonging to the Kato class. We show that for sufficiently small $r>0$ the fundamental solution is globally in time comparable with the density of the isotropic stable ...
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Journal of Synchrotron Radiation, EarlyView.A new iterative phase retrieval algorithm, Eikonal Phase Retrieval, tackles large phase gradients and yields higher‐quality propagation‐based X‐ray tomography of strongly heterogeneous biological samples.The evolution of synchrotrons towards higher brilliance beams has increased the possible sample‐to‐detector propagation distances for which the source
Alessandro Mirone +14 more
wiley +1 more source
Methods in Ecology and Evolution, EarlyView.Abstract Conservation of marine ecosystems can be improved through a better understanding of ecosystem functioning, particularly the cryptic underwater behaviours and interactions of marine predators. Image‐based bio‐logging devices (including images, videos and active acoustic) are increasingly used to monitor wildlife movements, foraging behaviours ...
Marianna Chimienti +14 more
wiley +1 more source
Resolvent kernel for the Kohn Laplacian on Heisenberg groups
Electronic Journal of Differential Equations, 2002 We present a formula that relates the Kohn Laplacian on Heisenberg groups and the magnetic Laplacian. Then we obtain the resolvent kernel for the Kohn Laplacian and find its spectral density.
Neur Eddine Askour, Zouhair Mouayn
doaj
Nontrivial Solution for the Fractional p-Laplacian Equations via Perturbation Methods
Advances in Mathematical Physics, 2017 We study the existence of nontrivial solution of the following equation without compactness: (-Δ)pαu+up-2u=f(x,u), x∈RN, where N,p≥2, α∈(0,1), (-Δ)pα is the fractional p-Laplacian, and the subcritical p-superlinear term f∈C(RN×R) is 1-periodic in xi ...
Huxiao Luo, Shengjun Li, Xianhua Tang
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