Results 21 to 30 of about 12,008 (303)
The standard Laplace operator [PDF]
manuscripta mathematica, 2018 The standard Laplace operator is a generalization of the Hodge Laplace operator on differential forms to arbitrary geometric vector bundles, alternatively it can be seen as generalization of the Casimir operator acting on sections of homogeneous vector bundles over symmetric spaces to general Riemannian manifolds.
Uwe Semmelmann, Gregor Weingart
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Analysis of Volterra Integrodifferential Equations with the Fractal-Fractional Differential Operator
Complexity, 2023 In this paper, a class of integrodifferential equations with the Caputo fractal-fractional derivative is considered. We study the exact and numerical solutions of the said problem with a fractal-fractional differential operator.
null Kamran +5 more
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Modified Atangana-Baleanu fractional operators involving generalized Mittag-Leffler function
Alexandria Engineering Journal, 2023 In this paper, we are going to deal with fractional operators (FOs) with non-singular kernels which is not an easy task because of its restriction at the origin.
Wen-Hua Huang +5 more
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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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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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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EAI Endorsed Transactions on Scalable Information Systems, 2021 This article has been retracted, and the retraction notice can be found here: http://dx.doi.org/10.4108/eai.8-4-2022.173797.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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Laplace and Dirac operators on graphs
Linear and Multilinear Algebra, 2022 Discrete versions of the Laplace and Dirac operators haven been studied in the context of combinatorial models of statistical mechanics and quantum field theory. In this paper we introduce several variations of the Laplace and Dirac operators on graphs, and we investigate graph-theoretic versions of the Schrödinger and Dirac equation.
Beata Casiday +4 more
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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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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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