Results 11 to 20 of about 6,325 (264)
Математичні Студії, 2021 This article is aimed at determining existence conditions of single layer potentials for pseudo-differential equations related to some linear transformations of a rotationally invariant stable stochastic process in a multidimensional Euclidean space and ...
Kh. V. Mamalyha, M. M. Osypchuk
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On the boundedness of pseudo-differential operators [PDF]
Proceedings of the American Mathematical Society, 1973 In this note, we use the sequence version of Cotlar's lemma and a partition of unity to give a proof of the L2-boundedness of a class of pseudo-differential operators. Introduction and results. Let p(x, 5) be a continuous function on RI x RI. Then, a pseudo-differential operator P with the symbol p(x, 5) is a linear map of CO (Rn) into CO(Rn), defined ...
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Karpatsʹkì Matematičnì Publìkacìï, 2019 In this article an arbitrary invertible linear transformations of a symmetric $\alpha$-stable stochastic process in $d$-dimensional Euclidean space $\mathbb{R}^d$ are investigated.
Kh.V. Mamalyha, M.M. Osypchuk
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A Radial Basis Function Finite Difference Scheme for the Benjamin–Ono Equation
Mathematics, 2020 A radial basis function-finite differencing (RBF-FD) scheme was applied to the initial value problem of the Benjamin–Ono equation. The Benjamin–Ono equation has traveling wave solutions with algebraic decay and a nonlocal pseudo-differential operator ...
Benjamin Akers, Tony Liu, Jonah Reeger
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Mathematical and Computational Applications, 2023 This article derives approximate formulations for Rayleigh waves on a coated orthorhombic elastic half-space with a prescribed vertical load acting as an elastic Winkler foundation.
Ali M. Mubaraki
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Higher-order gradient elasticity models applied to geometrically nonlinear discrete systems [PDF]
Theoretical and Applied Mechanics, 2015 The buckling and post-buckling behavior of a nonlinear discrete repetitive system, the discrete elastica, is studied herein. The nonlinearity essentially comes from the geometrical effect, whereas the constitutive law of each component is ...
Challamel Noël +2 more
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On the disentanglement of Gaussian quantum states by symplectic rotations
Comptes Rendus. Mathématique, 2020 We show that every Gaussian mixed quantum state can be disentangled by conjugation with a unitary operator corresponding to a symplectic rotation via the metaplectic representation of the symplectic group.
de Gosson, Maurice A.
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On the asymptotic expansion of certain plane singular integral operators
Boundary Value Problems, 2017 We discuss the problem of the asymptotic expansion for some operators in a general theory of pseudo-differential equations on manifolds with borders. Using the distribution theory one obtains certain explicit representations for these operators.
Vladimir Vasilyev
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Geometric approximations to transition densities of Jump-type Markov processes
Open Mathematics, 2021 This paper is concerned with the transition functions of symmetric Levy-type processes generated by a pseudo-differential operator with variable coefficients.
Zhuang Yuanying, Song Xiao
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Perturbation of an α-stable type stochastic process by a pseudo-gradient
Modern Stochastics: Theory and ApplicationsA Markov process defined by some pseudo-differential operator of an order $1\lt \alpha \lt 2$ as the process generator is considered. Using a pseudo-gradient operator, that is, the operator defined by the symbol $i\lambda |\lambda {|^{\beta -1}}$ with ...
Mykola Boiko, Mykhailo Osypchuk
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