Results 31 to 40 of about 1,130,981 (257)

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

A Note on the Triple Laplace Transform and Its Applications to Some Kind of Third-Order Differential Equation

open access: yesAbstract and Applied Analysis, 2013
We introduced a relatively new operator called the triple Laplace transform. We presented some properties and theorems about the relatively new operator. We examine the triple Laplace transform of some function of three variables.
Abdon Atangana
doaj   +1 more source

Problems with laplace operator on topological surfaces

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2011
This work highlights the problems related to the Laplace operator on topological surfaces such as Mobius strip, Klein bottle and torus. In particular, we discuss oscillations on the surface of the Mobius strip, eigenfunctions and eigenvalues of the ...
Mikhail Y Shalaginov   +2 more
doaj   +3 more sources

Some properties of the higher spin Laplace operator [PDF]

open access: yesTransactions of the American Mathematical Society, 2016
The higher spin Laplace operator has been constructed recently as the generalization of the Laplacian in higher spin theory. This acts on functions taking values in arbitrary irreducible representations of the Spin group.
C. Ding, J. Ryan
semanticscholar   +1 more source

Implicit Equations Involving the p-Laplace Operator [PDF]

open access: yesMediterranean Journal of Mathematics, 2021
AbstractIn this work we study the existence of solutions$$u \in W^{1,p}_0(\Omega )$$u∈W01,p(Ω)to the implicit elliptic problem$$ f(x, u, \nabla u, \Delta _p u)= 0$$f(x,u,∇u,Δpu)=0in$$ \Omega $$Ω, where$$ \Omega $$Ωis a bounded domain in$$ {\mathbb {R}}^N $$RN,$$ N \ge 2 $$N≥2, with smooth boundary$$ \partial \Omega $$∂Ω,$$ 1< p< \infty $$1<p ...
Greta Marino, Andrea Paratore
openaire   +4 more sources

A note on maximal operators related to Laplace-Bessel differential operators on variable exponent Lebesgue spaces

open access: yesOpen Mathematics, 2021
In this paper, we consider the maximal operator related to the Laplace-Bessel differential operator (BB-maximal operator) on Lp(⋅),γ(Rk,+n){L}_{p\left(\cdot ),\gamma }\left({{\mathbb{R}}}_{k,+}^{n}) variable exponent Lebesgue spaces.
Kaya Esra
doaj   +1 more source

Laplace–Beltrami operators on noncommutative tori

open access: yesJournal of Geometry and Physics, 2020
In this paper, we construct Laplace-Beltrami operators associated with arbitrary Riemannian metrics on noncommutative tori of any dimension. These operators enjoy the main properties of the Laplace-Beltrami operators on ordinary Riemannian manifolds. The construction takes into account the non-triviality of the group of modular automorphisms.
Ha, Hyunsu, Ponge, Raphaël
openaire   +3 more sources

Modified Edge Detector for Coloured Images

open access: yesIraqi Journal for Computers and Informatics, 2002
In this paper, a study of the role nf clour information in detecting the edges of an image was conducted Therefore, different colour spaces with components corresponding to the attribute tumance, hue, and saturation le., VHS, and LUVI were implemented ...
Ban Abdul-Rahman Al-Jubaury   +2 more
doaj   +1 more source

Comparative Analysis of Image Quality Values on Edge Detection Methods

open access: yesJurnal RESTI (Rekayasa Sistem dan Teknologi Informasi), 2020
Identification of object boundaries in a digital image is developing rapidly in line with advances in computer technology for image processing. Edge detection becomes important because humans in recognizing the object of an image will pay attention to ...
Wicaksono Yuli Sulistyo   +2 more
doaj   +1 more source

Eigenvalues of the fractional Laplace operator in the unit ball [PDF]

open access: yesJournal of the London Mathematical Society, 2015
We describe a highly efficient numerical scheme for finding two‐sided bounds for the eigenvalues of the fractional Laplace operator (−Δ)α/2 in the unit ball D⊂Rd , with a Dirichlet condition in the complement of D . The standard Rayleigh–Ritz variational
Bartłomiej Dyda   +2 more
semanticscholar   +1 more source

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