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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 and Silvestre and a class of conformally covariant operators in conformal geometry.Peer ReviewedPostprint (published ...
Maria Del Mar Gonzalez Nogueras
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On a connection between the discrete fractional Laplacian and superdiffusion [PDF]
Applied Mathematics Letters, 2015 We relate the fractional powers of the discrete Laplacian with a standard time-fractional derivative in the sense of Liouville by encoding the iterative nature of the discrete operator through a time-fractional memory term.
Óscar Ciaurri +2 more
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Stability of variational eigenvaluesfor the fractional $p-$Laplacian
Discrete and Continuous Dynamical Systems, 2016 International audienceBy virtue of Γ−convergence arguments, we investigate the stability of variational eigenvalues associated with a given topological index for the fractional p−Laplacian operator, in the singular limit as the nonlocal operator ...
Lorenzo Brasco +2 more
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Exact discretization of fractional Laplacian
Computers and Mathematics With Applications, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vasily E. Tarasov
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On the Generalized Fractional Laplacian
Fractional Calculus and Applied Analysis, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On spectral polar fractional Laplacian
Mathematics and Computers in Simulation, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alireza Ansari +1 more
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BOUNDS FOR THE EIGENVALUES OF THE FRACTIONAL LAPLACIAN
Reviews in Mathematical Physics, 2012In this article, we extend Pólya's legendary inequality for the Dirichlet Laplacian to the fractional Laplacian. Pólya's argument is revealed to be a powerful tool for proving such extensions on tiling domains. As in the Dirichlet Laplacian case, Pólya's inequality for the fractional Laplacian on any bounded domain is still an open problem.
Yolcu, Selma Yildirim, Yolcu, Türkay
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Schrödinger Equations with Fractional Laplacians
Applied Mathematics & Optimization, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hu, Y., Kallianpur, G.
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BOUNDARY PROBLEMS FOR FRACTIONAL LAPLACIANS
Stochastics and Dynamics, 2005By making use of the reflected α-stable process on a closed domain of ℝn and its killed subprocess on part of the domain, in this paper we study the boundary value problem for the Schrödinger type equation of a fractional Laplacian. The boundary condition is imposed partly follow Dirichlet condition and partly follow Neuman condition.
Guan, Qing-Yang, Ma, Zhi-Ming
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2016
The fractional Laplacian in one dimension Random walkers with constant steps Ordinary diffusion Random jumpers Central limit theorem and stable distributions Power-law probability jump lengths A principal-value integral Wires and springs The fractional Laplacian Fourier transform Effect of fractional order Numerical computation of the fractional ...
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The fractional Laplacian in one dimension Random walkers with constant steps Ordinary diffusion Random jumpers Central limit theorem and stable distributions Power-law probability jump lengths A principal-value integral Wires and springs The fractional Laplacian Fourier transform Effect of fractional order Numerical computation of the fractional ...
openaire +1 more source