Results 21 to 30 of about 31,295 (230)
A Monotone Discretization for the Fractional Obstacle Problem and Its Improved Policy Iteration
Fractal and Fractional, 2023 In recent years, the fractional Laplacian has attracted the attention of many researchers, the corresponding fractional obstacle problems have been widely applied in mathematical finance, particle systems, and elastic theory.
Rubing Han, Shuonan Wu, Hao Zhou
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Fractional Laplacian on the torus [PDF]
Communications in Contemporary Mathematics, 2016 We study the fractional Laplacian [Formula: see text] on the [Formula: see text]-dimensional torus [Formula: see text], [Formula: see text]. First, we present a general extension problem that describes any fractional power [Formula: see text], [Formula: see text], where [Formula: see text] is a general nonnegative self-adjoint operator defined in an ...
Pablo Raúl Stinga, Luz Roncal
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Monotone iterative technique for time-space fractional diffusion equations involving delay
Nonlinear Analysis, 2021 This paper considers the initial boundary value problem for the time-space fractional delayed diffusion equation with fractional Laplacian. By using the semigroup theory of operators and the monotone iterative technique, the existence and uniqueness of ...
Qiang Li, Guotao Wang, Mei Wei
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A Generalized Fractional Laplacian
, 2023 In this article we show that the fractional Laplacian in $R^{2}$ can be factored into a product of the divergence operator, a Riesz potential operator, and the gradient operator. Using this factored form we introduce a generalization of the fractional Laplacian, involving a matrix $K(x)$, suitable when the fractional Laplacian is applied in a non ...
Zheng, Xiangcheng +2 more
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Fractional Revival of Threshold Graphs Under Laplacian Dynamics
Discussiones Mathematicae Graph Theory, 2020 We consider Laplacian fractional revival between two vertices of a graph X. Assume that it occurs at time τ between vertices 1 and 2. We prove that for the spectral decomposition L=∑r=0qθrErL = \sum\nolimits_{r = 0}^q {{\theta _r}{E_r}} of the Laplacian
Kirkland Steve, Zhang Xiaohong
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Fractal and Fractional, 2022 This paper designs a new finite difference compact reconstruction unequal-sized weighted essentially nonoscillatory scheme (CRUS-WENO) for solving fractional differential equations containing the fractional Laplacian operator.
Yan Zhang, Jun Zhu
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The Pohozaev Identity for the Fractional Laplacian [PDF]
Archive for Rational Mechanics and Analysis, 2014 In this paper we prove the Pohozaev identity for the semilinear Dirichlet problem $(- )^s u = f(u)$ in $ $, $u \equiv 0$ in $\mathbb R^n\setminus $. Here, $s\in(0,1)$, $(- )^s$ is the fractional Laplacian in $\mathbb R^n$, and $ $ is a bounded $C^{1,1}$ domain. To establish the identity we use, among other things, that if $u$ is a bounded solution
Ros Oton, Xavier +1 more
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Communications in Partial Differential Equations, 2014 14 pages; this version is considerably ...
MUSINA, Roberta, Nazarov A. I.
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On the Fractional Dunkl Laplacian
, 2022 In this paper, we present an approach to the fractional Dunkl Laplacian in a framework emerging from certain reflection symmetries in Euclidean spaces. Our main result is pointwise formulas, Bochner subordination, and an extension problem for the fractional Dunkl Laplacian as well.
Fethi Bouzeffour, Wissem Jedidi
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Fractional Laplacian in bounded domains [PDF]
Physical Review E, 2007 11 pages, 11 ...
Andrea Zoia +3 more
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