Results 11 to 20 of about 1,130,981 (257)
The standard Laplace operator [PDF]
manuscripta mathematica, 2017 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 ...
U. Semmelmann, G. Weingart
semanticscholar +4 more sources
Optimal codomains for the Laplace operator and the product Laplace operator
Journal of Function Spaces and Applications, 2007 An optimal codomain for an operator P (∂) with fundamental solution E, is a maximal space of distributions T for which it is possible to define the convolution E*T and thus to solve the equation P (∂)S=T.
Josefina Alvarez, Lloyd Edgar S. Moyo
doaj +2 more sources
On Odd Laplace Operators [PDF]
Letters in Mathematical Physics, 2002 We consider odd Laplace operators acting on densities of various weight on an odd Poisson (= Schouten) manifold $M$. We prove that the case of densities of weight 1/2 (half-densities) is distinguished by the existence of a unique odd Laplace operator depending only on a point of an ``orbit space'' of volume forms.
Khudaverdian, Hovhannes M. +1 more
openaire +3 more sources
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
openaire +4 more sources
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
doaj +1 more source
Laplace Operator In Irregular Domain [PDF]
مجلة جامعة الانبار للعلوم الصرفة, 2014 The aim of this paper is to prove that Laplace operator depending on nine points in irregular domains is of order two in addition, some examples as an applications for this operator are given.
Ali A. Mhassin
doaj +1 more source
Ten equivalent definitions of the fractional laplace operator [PDF]
, 2015 This article discusses several definitions of the fractional Laplace operator L = — (—Δ)α/2 in Rd , also known as the Riesz fractional derivative operator; here α ∈ (0,2) and d ≥ 1.
M. Kwaśnicki
semanticscholar +1 more source
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
doaj +1 more source
Diagram Technique for the Heat Kernel of the Covariant Laplace Operator [PDF]
Theoretical and mathematical physics, 2019 We present a diagram technique used to calculate the Seeley–DeWitt coefficients for a covariant Laplace operator. We use the combinatorial properties of the coefficients to construct a matrix formalism and derive a formula for an arbitrary coefficient.
A. Ivanov
semanticscholar +1 more source
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
doaj +1 more source