Results 131 to 140 of about 31,295 (230)

Singular critical elliptic problems with fractional Laplacian

Electronic Journal of Differential Equations, 2015
In this article, we consider the existence of solutions of the critical problem with a Hardy term for fractional Laplacian $$\displaylines{ (-\Delta)^s u -\mu \frac u{|x|^{2s}}= u^{2^*_s-1} \quad \text{in }\Omega,\cr u>0 \quad \text{in }\Omega, \cr
Xueqiao Wang, Jianfu Yang
doaj  

A finite-volume scheme for fractional diffusion on bounded domains

European Journal of Applied Mathematics
We propose a new fractional Laplacian for bounded domains, expressed as a conservation law and thus particularly suited to finite-volume schemes. Our approach permits the direct prescription of no-flux boundary conditions.
Rafael Bailo, José A. Carrillo, Stefano Fronzoni, David Gómez-Castro   +3 more
doaj   +1 more source

Real‐time prediction of tunnel boring machine thrust based on multi‐resolution analysis and online learning

Computer-Aided Civil and Infrastructure Engineering, EarlyView.
Abstract This study introduces a novel integrated framework for real‐time tunnel boring machine (TBM) thrust prediction, addressing critical limitations in handling non‐stationarity, complex spatiotemporal dependencies, and abrupt disturbances. First, a real‐time windowed multi‐resolution analysis process, which performs decomposition strictly within ...
Yongxin Wu, Hanzhi Yang, Houle Zhang, Yue Hou, Shangchuan Yang   +4 more
wiley   +1 more source

Mild solutions to Love-type equations on R^2

Electronic Journal of Differential Equations
In this article, we study a non-local Love problem on unbounded domains where the non-locality in the main equation is interpreted as a fractional Laplacian operator.
Bui Duc Nam, Bui Dai Nghia, Nguyen Anh Tuan   +2 more
doaj  

On the Fourier transform of measures in Besov spaces

Bulletin of the London Mathematical Society, EarlyView.
Abstract We prove quantitative estimates for the decay of the Fourier transform of the Riesz potential of measures that are in homogeneous Besov spaces of the negative exponent: ∥Iαμ̂∥Lp,∞⩽C∥μ∥Mb12supt>0td−β2∥pt*μ∥∞12,$$\begin{align*} \Vert \widehat{I_{\alpha }\mu }\Vert _{L^{p, \infty }} \leqslant C \Vert \mu \Vert _{M_b}^{\frac{1}{2}}{\left(\sup _{t ...
Riju Basak, Daniel Spector, Dmitriy Stolyarov   +2 more
wiley   +1 more source

Pitt's inequality and the fractional Laplacian: Sharp error estimates [PDF]

, 2011
William Beckner
openalex   +1 more source

An integrated platform for 2‐D and 3‐D optical and electrical mapping of arrhythmias in Langendorff‐perfused rabbit hearts

The Journal of Physiology, EarlyView.
Abstract figure legend Integrated multimodal platform for panoramic cardiac mapping in isolated heart experiments. On the left, an image of the experimental setup during data acquisition showing a Langendorff‐perfused rabbit heart surrounded by three optical cameras (CAM A, B and C) positioned 120° apart, each coupled with high‐power LEDs for panoramic
Jimena Siles, Vinícius Silva, Tainan Neves, Italo Sandoval, Angélica Quadros, Giovanni Weber, Óscar Barquero, Ilija Uzelac, João Salinet   +8 more
wiley   +1 more source

New Results for p-Laplacian Fractional Instantaneous and Noninstantaneous Impulsive Differential Equations

Journal of Function Spaces
The p-Laplacian fractional differential equations have been studied extensively because of their numerous applications in science and engineering.
Wangjin Yao, Huiping Zhang
doaj   +1 more source

A variable diffusivity fractional Laplacian

Journal of Mathematical Analysis and Applications
In this paper we analyze the existence, uniqueness and regularity of the solution to the generalized, variable diffusivity, fractional Laplace equation on the unit disk in $\mathbb{R}^{2}$. For $α$ the order of the differential operator, our results show that for the symmetric, positive definite, diffusivity matrix, $K(\mathbf{x})$, satisfying $λ_{m ...
openaire   +3 more sources

Hyperspectral Imaging: The Intelligent Eye to Uncover the Password of Plant Science

Modern Agriculture, Volume 3, Issue 2, December 2025.
Hyperspectral imaging (HSI) has emerged as a powerful non‐destructive technique for characterisation of the plant phenotype and physiological traits. The ongoing development of cost‐effective hardware, coupled with standardised acquisition protocols and open‐access spectral libraries, is accelerating its integration with multi‐omics approaches to ...
Jingyan Song, Haifeng Liang, Bingjie Lu, Jing Guo, Yuan Gao, Xiao Hu, Manlin Yang, Xiaofan Li, Zhenyu Wang, Yongqi Chen, Yinyin Zhang, Shen Su, Zhangyun Gao, Shijie Li, Ping Chen, Jing Wang, Wanneng Yang, Hui Feng   +17 more
wiley   +1 more source