Results 61 to 70 of about 8,080 (219)

Laplace operators on holomorphic Lie algebroids

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018
The paper introduces Laplace-type operators for functions defined on the tangent space of a Finsler Lie algebroid, using a volume form on the prolongation of the algebroid.
Ionescu Alexandru
doaj   +1 more source

On Nodal Sets for Dirac and Laplace Operators [PDF]

Communications in Mathematical Physics, 1997
LaTeX, uses pstricks macro-package, 15 pages with 2 figures; to appear in Commun.
openaire   +4 more sources

The Application of Abstract Algebra in Operational Calculus

Fractal and Fractional
This paper is dedicated to elucidating the abstract algebraic structure of operational calculus theory. Based on abstract algebra and operational calculus, the operator algebra theory of Mikusiński has been revised. We restate the concept of Mikusiński’s
Ruiheng Jiang, Tianyi Zhou, Yajun Yin
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On the fractional Laplace-Bessel operator

AIMS Mathematics
In this paper, we propose a novel approach to the fractional power of the Laplace-Bessel operator $ \Delta_{\nu} $, defined as$ \Delta_{\nu} = \sum\limits_{i = 1}^{n}\frac{\partial^2}{\partial x_{i}^2} + \frac{\nu_i}{x_{i}}\frac{\partial}{\partial x_{i}}
Borhen Halouani, Fethi Bouzeffour
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On some possible applications of Laplace operator in a revolved coordinate system for numerical calculations

Тонкие химические технологии, 2013
The Laplace operator in a revolved coordinate system (the “revolved” Laplace operator) is introduced in numerical mesh method along diagonal lines. In this paper an attempt is made to use it for numerical solution of the two-dimensional Poisson equation.
A. B. Chaadaev
doaj  

Eigenvalues of the fractional Laplace operator in the interval

Journal of Functional Analysis, 2012
Two-term Weyl-type asymptotic law for the eigenvalues of one-dimensional fractional Laplace operator (-d^2/dx^2)^(alpha/2) (0 < alpha < 2) in the interval (-1,1) is given: the n-th eigenvalue is equal to (n pi/2 - (2 - alpha) pi/8)^alpha + O(1/n). Simplicity of eigenvalues is proved for alpha in [1, 2).
Mateusz Kwaśnicki, Mateusz Kwaśnicki
openaire   +3 more sources

[Three-dimensional reconstruction of femur based on Laplace operator and statistical shape model]. [PDF]

Sheng Wu Yi Xue Gong Cheng Xue Za Zhi, 2023
Zhang Z, Zhang X, Zhang Y, Jin Z.
europepmc   +1 more source

Complex Powers of the Laplace Operator on the Circle [PDF]

Proceedings of the American Mathematical Society, 1985
The classical zeta function of Lerch has an analytic continuation as a distribution on the circle which seems to be very different from its usual analytic continuation: for example, the Bernoulli polynomials come out upside down.
openaire   +2 more sources

Radial Fuik Spectrum of the Laplace Operator

Journal of Mathematical Analysis and Applications, 1995
Let \(L: D(L)\subset H\to H\) be a linear operator in a function space \(H\). The Fučik spectrum of \(L\) is defined by \(A_ 0= \{(a, b)\in \mathbb{R}^ 2\): \(Lu= au^ +- bu^ -\) for some nontrivial \(u\}\), where \(u^ += \max\{u, 0\}\), \(u^ -= \max\{- u, a\}\). Knowledge of \(A_ 0\) is important for the existence of solutions of \(Lu= g(u)+ f\), where
Juan Campos, M. Arias
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Maximum Principle for the Space-Time Fractional Conformable Differential System Involving the Fractional Laplace Operator

Journal of Mathematics, 2020
In this paper, the authors consider a IBVP for the time-space fractional PDE with the fractional conformable derivative and the fractional Laplace operator. A fractional conformable extremum principle is presented and proved.
Tingting Guan, Guotao Wang
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