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Open Mathematics, 2020 In this paper, we discuss the monotonicity of the first nonzero eigenvalue of the Laplace operator and the p-Laplace operator under a forced mean curvature flow (MCF).
Qi Xuesen, Liu Ximin
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A novel Gauss-Laplace operator based on multi-scale convolution for dance motion image enhancement
EAI Endorsed Transactions on Scalable Information Systems, 2021 This article has been retracted, and the retraction notice can be found here: http://dx.doi.org/10.4108/eai.8-4-2022.173797. Traditional image enhancement methods have the problems of low contrast and fuzzy details.
Dianhuai Shen +2 more
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A graph discretization of the Laplace-Beltrami operator [PDF]
, 2014 We show that eigenvalues and eigenfunctions of the Laplace-Beltrami operator on a Riemannian manifold are approximated by eigenvalues and eigenvectors of a (suitably weighted) graph Laplace operator of a proximity graph on an epsilon-net.Comment: 29 ...
Burago, Dmitri +2 more
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Geometry of differential operators and odd Laplace operators [PDF]
Russian Mathematical Surveys, 2003 We solve the following problem: to describe in geometric terms all differential operators of the second order with a given principal symbol. Initially the operators act on scalar functions. Operator pencils acting on densities of arbitrary weights appear naturally in the course of study.
Voronov, F. F., Khudaverdyan, O. M.
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Fractal and Fractional, 2023 In this paper, we investigate properties of solutions to a space-time fractional variable-order conformable nonlinear differential equation with a generalized tempered fractional Laplace operatorby using the maximum principle. We first establish some new
Tingting Guan, Lihong Zhang
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The fractional p-Laplacian emerging from homogenization of the random conductance model with degenerate ergodic weights and unbounded-range jumps [PDF]
, 2018 We study a general class of discrete $p$-Laplace operators in the random conductance model with long-range jumps and ergodic weights. Using a variational formulation of the problem, we show that under the assumption of bounded first moments and a ...
Flegel, Franziska, Heida, Martin
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p-Laplace Operators for Oriented Hypergraphs [PDF]
Vietnam Journal of Mathematics, 2021 AbstractThe p-Laplacian for graphs, as well as the vertex Laplace operator and the hyperedge Laplace operator for the general setting of oriented hypergraphs, are generalized. In particular, both a vertex p-Laplacian and a hyperedge p-Laplacian are defined for oriented hypergraphs, for all p ≥ 1.
Jürgen Jost +2 more
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Defective Laplacians and paradoxical phenomena in crowd motion modeling
Comptes Rendus. Mécanique, 2023 In both continuous and discrete settings, Laplace operators appear quite commonly in the modeling of natural phenomena, in several context: diffusion, heat propagation, porous media, fluid flows through pipes, electricity....
Maury, Bertrand
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The Higher Spin Laplace Operator [PDF]
Potential Analysis, 2016 This paper deals with a certain class of second-order conformally invariant operators acting on functions taking values in particular (finite-dimensional) irreducible representations of the orthogonal group. These operators can be seen as a generalisation of the Laplace operator to higher spin as well as a second order analogue of the Rarita-Schwinger ...
Hendrik De Bie +2 more
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The formal Laplace-Borel transform of Fliess operators and the composition product
International Journal of Mathematics and Mathematical Sciences, 2006 The formal Laplace-Borel transform of an analytic integral operator, known as a Fliess operator, is defined and developed. Then, in conjunction with the composition product over formal power series, the formal Laplace-Borel transform is shown to provide ...
Yaqin Li, W. Steven Gray
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