Results 81 to 90 of about 393,013 (283)
Fractional Laplacian with Hardy potential [PDF]
Communications in Partial Differential Equations, 2019 small editorial changes, added literature, new title, 28 pages, 1 ...
Krzysztof Bogdan +3 more
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Maximum Principles for Laplacian and Fractional Laplacian with Critical Integrability
The Journal of Geometric Analysis, 2023 In this paper, we study maximum principles for Laplacian and fractional Laplacian with critical integrability. We first consider the critical cases for Laplacian with zero order term and first order term. It is well known that for the Laplacian with zero order term $-Δ+c(x)$ in $B_1$, $c(x)\in L^p(B_1)$($B_1\subset \mathbf{R}^n$), the critical case for
Congming Li, Yingshu Lü
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Advanced Intelligent Systems, EarlyView.A compressed sensing (CS)‐based feature selection method is proposed to select the most informative elements in the radiomic features extracted from medical images of personalized ultra‐fractionated stereotactic adaptive treatment. The CS‐based approach is able to simplify the feature selection process and enhance the accuracy and robustness of a ...
Yajun Yu +3 more
wiley +1 more source
Fractional discrete Laplacian versus discretized fractional Laplacian
, 2015 25 pages, 13 ...
Ciaurri, Ó. +4 more
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Critical System Size for the Recovery of Topological Zero Modes in Finite Non‐Hermitian Systems
Annalen der Physik, EarlyView.A generalized non‐Hermitian SSH model on a topolectrical circuit reveals size‐dependent topological zero modes. Non‐Hermiticity enables exact zero‐admittance edge states at a critical system size, tunable via asymmetric coupling and gain/loss. Large impedance peaks signal these modes, offering insights for designing robust topological devices with ...
S M Rafi‐Ul‐Islam +3 more
wiley +1 more source
Rational Spectral Methods for PDEs Involving Fractional Laplacian in Unbounded Domains [PDF]
SIAM Journal on Scientific Computing, 2019 Many PDEs involving fractional Laplacian are naturally set in unbounded domains with underlying solutions decay very slowly, subject to certain power laws. Their numerical solutions are under-explored.
T. Tang +3 more
semanticscholar +1 more source
On the Solvability of Caputo -Fractional Boundary Value Problem Involving -Laplacian Operator
Abstract and Applied Analysis, 2013 We consider the model of a Caputo -fractional boundary value problem involving -Laplacian operator. By using the Banach contraction mapping principle, we prove that, under some conditions, the suggested model of the Caputo -fractional boundary value ...
Hüseyin Aktuğlu, Mehmet Ali Özarslan
doaj +1 more source
Fast Fourier-like Mapped Chebyshev Spectral-Galerkin Methods for PDEs with Integral Fractional Laplacian in Unbounded Domains [PDF]
SIAM Journal on Numerical Analysis, 2019 In this paper, we propose a fast spectral-Galerkin method for solving PDEs involving integral fractional Laplacian in $\mathbb{R}^d$, which is built upon two essential components: (i) the Dunford-Taylor formulation of the fractional Laplacian; and (ii ...
Changtao Sheng +4 more
semanticscholar +1 more source
On the Laplacian and fractional Laplacian in an exterior domain
Advances in Differential Equations, 2012 We see that the generalized Fourier transform due to A.G. Ramm for the case of $n=3$ space dimensions remains valid, with some modifications, for all space dimensions $n\ge 2$. We use the resulting spectral representation of the exterior Laplacian to study exterior problems. In particular the Fourier splitting method developed by M.E.
Kosloff, Leonardo, Schonbek, Tomas
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Bicyclo[1.1.0]tetragermane‐2,4‐diide Diradicaloid
Angewandte Chemie International Edition, EarlyView.The bicyclo[1.1.0]tetragermane‐2,4‐diide diradicaloid compound [(ADC)2Ge4] featuring a stretched bridgehead Ge─Ge bond is reported as a Venetian red crystalline solid. [(ADC)2Ge4] has been characterized by experimental and computational methods and its reactivity with TEMPO and Fe2(CO)9 has been explored.
Falk Ebeler +5 more
wiley +1 more source