Results 31 to 40 of about 1,100,393 (352)
Fractal and Fractional, 2023 In this paper, we investigate properties of solutions to a space-time fractional variable-order conformable nonlinear differential equation with a generalized tempered fractional Laplace operatorby using the maximum principle. We first establish some new
Tingting Guan, Lihong Zhang
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Laplace Operators in Gamma Analysis [PDF]
, 2016 Let $\mathbb K(\mathbb R^d)$ denote the cone of discrete Radon measures on $\mathbb R^d$. The gamma measure $\mathcal G$ is the probability measure on $\mathbb K(\mathbb R^d)$ which is a measure-valued L vy process with intensity measure $s^{-1}e^{-s}\,ds$ on $(0,\infty)$.
Anatoly Vershik +3 more
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Defective Laplacians and paradoxical phenomena in crowd motion modeling
Comptes Rendus. Mécanique, 2023 In both continuous and discrete settings, Laplace operators appear quite commonly in the modeling of natural phenomena, in several context: diffusion, heat propagation, porous media, fluid flows through pipes, electricity....
Maury, Bertrand
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A QUANTUM APPROACH TO LAPLACE OPERATORS [PDF]
Infinite 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
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The formal Laplace-Borel transform of Fliess operators and the composition product
International Journal of Mathematics and Mathematical Sciences, 2006 The formal Laplace-Borel transform of an analytic integral operator, known as a Fliess operator, is defined and developed. Then, in conjunction with the composition product over formal power series, the formal Laplace-Borel transform is shown to provide ...
Yaqin Li, W. Steven Gray
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Imaginary powers of Laplace operators [PDF]
Proceedings of the American Mathematical Society, 2000 Let \(L\) be a second-order uniformly elliptic operator in divergence form on \(\mathbb{R}^d\). The authors show that the following inequality holds \[ C_1(1+ |\alpha|)^{d/2}\leq \|L^{i\alpha}\|_{L^1\to L^{1,\infty}}\leq C_2(1+ |\alpha|)^{d/2} \] for any \(\alpha\in\mathbb{R}\), where \(\|\cdot\|_{L^1\to L^{1,\infty}}\) is the weak type \((1,1)\) norm.
James D. Wright +2 more
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Problems with laplace operator on topological surfaces
Vestnik 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
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Abstract 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
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Open 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
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A natural Finsler-Laplace operator [PDF]
Israel Journal of Mathematics, 2013 We give a new definition of a Laplace operator for Finsler metric as an average with regard to an angle measure of the second directional derivatives. This definition uses a dynamical approach due to Foulon that does not require the use of connections nor local coordinates.
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