Results 11 to 20 of about 546,655 (283)

Adaptive Discrete Laplace Operator [PDF]

open access: yes, 2011
Diffusion processes capture information about the geometry of an object such as its curvature, symmetries and particular points. The evolution of the diffusion is governed by the LAPLACE-BELTRAMI operator which presides to the diffusion on the manifold.
Christophe Fiorio   +2 more
core   +10 more sources

Maximal functions and subordination for operator groups. [PDF]

open access: yes, 2002
Let E be a UMD Banach space and L a positive and self-adjoint operator in L^2 of Laplace type such that the imaginary powers L^{-it} form a C_0 group of exponential growth on L^p(E).
Blower, Gordon
core   +4 more sources

Analysis of Volterra Integrodifferential Equations with the Fractal-Fractional Differential Operator

open access: yesComplexity, 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
doaj   +1 more source

Modified Atangana-Baleanu fractional operators involving generalized Mittag-Leffler function

open access: yesAlexandria 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
doaj   +1 more source

p-Laplace Operators for Oriented Hypergraphs [PDF]

open access: yesVietnam 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
openaire   +4 more sources

A QUANTUM APPROACH TO LAPLACE OPERATORS [PDF]

open access: yesInfinite Dimensional Analysis, Quantum Probability and Related Topics, 2006
In this paper, a theory of stochastic processes generated by quantum extensions of Laplacians is developed. Representations of the associated heat semigroups are discussed by means of suitable time shifts. In particular the quantum Brownian motion associated to the Lévy–Laplacian is obtained as the usual Volterra–Gross Laplacian using the Cesàro ...
ACCARDI, LUIGI   +2 more
openaire   +2 more sources

A novel Gauss-Laplace operator based on multi-scale convolution for dance motion image enhancement

open access: yesEAI 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
doaj   +1 more source

Geometry of differential operators and odd Laplace operators [PDF]

open access: yesRussian 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.
openaire   +2 more sources

Laplace and Dirac operators on graphs

open access: yesLinear 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
openaire   +2 more sources

Eigenvalue Problem for the 1-Laplace Operator [PDF]

open access: yes, 2009
We consider the eigenvalue problem associated to the 1-Laplace operator. We define higher eigensolutions by means of weak slope and establish existence of a sequence of eigensolutions by using nonsmooth critical point theory. In addition, we deduce a new
Milbers, Zoja
core   +3 more sources

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