Results 11 to 20 of about 264,054 (242)
Transference of Fractional Laplacian Regularity [PDF]
, 2014 In this note we show how to obtain regularity estimates for the fractional Laplacian on the multidimensional torus Tn from the fractional Laplacian on ℝn. Though at first glance this may seem quite natural, it must be carefully precised.
Stinga, P.R. [0000-0001-5178-7112] +3 more
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Remarks on the Generalized Fractional Laplacian Operator
Mathematics, 2019 The fractional Laplacian, also known as the Riesz fractional derivative operator, describes an unusual diffusion process due to random displacements executed by jumpers that are able to walk to neighbouring or nearby sites, as well as perform excursions ...
Chenkuan Li +3 more
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The trace fractional Laplacian and the mid-range fractional Laplacian
Nonlinear AnalysisIn this paper we introduce two new fractional versions of the Laplacian. The first one is based on the classical formula that writes the usual Laplacian as the sum of the eigenvalues of the Hessian.
Ruiz Cases, Jorge, Rossi, Julio D.
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Stability of nonlinear Dirichlet BVPs governed by fractional Laplacian. [PDF]
ScientificWorldJournal, 2014 We consider a class of partial differential equations with the fractional Laplacian and the homogeneous Dirichlet boundary data. Some sufficient condition under which the solutions of the equations considered depend continuously on parameters is stated ...
Bors D.
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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.
Ada Chan +5 more
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Asymmetric critical fractional p-Laplacian problems [PDF]
Electronic Journal of Differential Equations, 2017 We consider the asymmetric critical fractional p-Laplacian problem $$\displaylines{ (-\Delta)^s_p u = \lambda |u|^{p-2} u + u^{p^\ast_s - 1}_+,\quad \text{in } \Omega;\cr u = 0, \quad \text{in } \mathbb{R}^N\setminus\Omega; }$$ where $\lambda>0 ...
Li Huang, Yang Yang
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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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On the Fractional Dunkl Laplacian
Fractional Calculus and Applied Analysis, 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 Laplacians on ellipsoids
Mathematics in Engineering, 2021 6 pictures, 27 ...
Abatangelo N., Jarohs S., Saldana A.
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Fractional Laplacian pyramids [PDF]
2009 16th IEEE International Conference on Image Processing (ICIP), 2009 We provide an extension of the L2-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.
Ricard Delgado-Gonzalo +2 more
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