Results 11 to 20 of about 259,447 (315)
Eigenfunctions of the Laplace-Beltrami operator on hyperboloids [PDF]
Tamkang Journal of Mathematics, 2008 Eigenfunctions of the Laplace-Beltrami operator on a hyperboloid are studied in the spirit of the treatment of the spherical harmonics by Stein and Weiss. As a special case, a simple self-contained proof of Laplace’s integral for a Legendre function is obtained.
M. K. Vemuri, Amritanshu Prasad
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Laplace invariants of differential operators [PDF]
Illinois Journal of Mathematics, 2021 We identify conditions giving large natural classes of partial differential operators for which it is possible to construct a complete set of Laplace invariants. In order to do that we investigate general properties of differential invariants of partial differential operators under gauge transformations and introduce a sufficient condition for a set of
David Hobby, Ekaterina Shemyakova
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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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Discrete Dynamics in Nature and Society, 2021 In this paper, the Laplace operator is used with Caputo-Type Marichev–Saigo–Maeda (MSM) fractional differentiation of the extended Mittag-Leffler function in terms of the Laplace function.
Adnan Khan +3 more
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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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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
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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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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 Schr dinger and Dirac equation.
Beata Casiday +4 more
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Continuum limit for Laplace and Elliptic operators on lattices [PDF]
Pure Appl. Analysis 6 (2024) 765-788, 2023 Continuum limits of Laplace operators on general lattices are considered, and it is shown that these operators converge to elliptic operators on the Euclidean space in the sense of the generalized norm resolvent convergence. We then study operators on the hexagonal lattice, which does not apply the above general theory, but we can show its Laplace ...
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Restriction of Laplace operator on one-forms: from $\mathbb{R}^{n+2}$ and $\mathbb{R}^{n+1}$ ambient spaces to embedded (A)dS$_n$ submanifolds [PDF]
J. Math. Phys. 63, 072301 (2022), 2022 The Laplace-de Rham operator acting on a one-form $a$: $\square a$, in $\mathbb{R}^{n+2}$ or $\mathbb{R}^{n+1}$ spaces is restricted to $n$-dimensional pseudo-spheres. This includes, in particular, the $n$-dimensional de Sitter and Anti-de Sitter space-times.
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