Results 11 to 20 of about 473,820 (257)
Fractional centered difference scheme for high-dimensional integral fractional Laplacian
Journal of Computational Physics, 2021 In this work we study the finite difference method for the fractional diffusion equation with high-dimensional hyper-singular integral fractional Laplacian. We first propose a simple and easy-to-implement discrete approximation, i.e., fractional centered
Zhaopeng Hao, Zhongqiang Zhang, R. Du
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MOND-like fractional Laplacian theory [PDF]
Physical Review D, 2020 I provide a derivation of some characteristic effects of Milgrom's modified Newtonian dynamics (MOND) from a fractional version of Newton's theory based on the fractional Poisson equation.
A. Giusti
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Fractional Laplacian in conformal geometry
Advances in Mathematics, 2011 In this note, we study the connection between the fractional Laplacian operator that appeared in the recent work of Caffarelli-Silvestre and a class of conformally covariant operators in conformal geometry.
Maria Del Mar Gonzalez Nogueras
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On fractional Laplacians – 3 [PDF]
ESAIM: Control, Optimisation and Calculus of Variations, 2016 We investigate the role of the noncompact group of dilations in $\mathbb R^n$ on the difference of the quadratic forms associated to the fractional Dirichlet and Navier Laplacians. Then we apply our results to study the Brezis--Nirenberg effect in two families of noncompact boundary value problems involving the Navier-Laplacian.
MUSINA, Roberta, Nazarov, A. I.
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Journal of Computational Physics, 2018 Siwei Duo, H. Wyk, Yanzhi Zhang
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Laplacian Fractional Revival on Graphs [PDF]
The Electronic Journal of Combinatorics, 2021 We develop the theory of fractional revival in the quantum walk on a graph using its Laplacian matrix as the Hamiltonian. We first give a spectral characterization of Laplacian fractional revival, which leads to a polynomial time algorithm to check this phenomenon and find the earliest time when it occurs.
Chan, Ada +5 more
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Nonlinear Analysis, 2022 In this paper, by introducing a relativistic Schrödinger tempered fractional p-Laplacian operator (–Δ)p,λs,m, based on the relativistic Schrödinger operator (–Δ + m2)s and the tempered fractional Laplacian (Δ + λ)β/2, we consider a relativistic ...
Wenwen Hou, Lihong Zhang
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Fractional Laplacian pyramids [PDF]
2009 16th IEEE International Conference on Image Processing (ICIP), 2009 We provide an extension of the L 2 -spline pyramid (Unser et al., 1993) using polyharmonic splines. We analytically prove that the corresponding error pyramid behaves exactly as a multi-scale Laplace operator. We use the multiresolution properties of polyharmonic splines to derive an efficient, non-separable filterbank implementation.
Delgado-Gonzalo, Ricard +2 more
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Fractional Laplacians on ellipsoids
Mathematics in Engineering, 2021 6 pictures, 27 ...
Abatangelo N., Jarohs S., Saldana A.
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On the Convergence Result of the Fractional Pseudoparabolic Equation
Journal of Mathematics, 2023 In this paper, we consider the nonlinear fractional Laplacian pseudoparabolic equation (NFLPPE). We mainly focus on the convergence of mild solutions with respect to the order of fractional Laplacian.
Nguyen Van Tien, Reza Saadati
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