Results 21 to 30 of about 2,194,014 (300)
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 ...
openaire +1 more source
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
doaj +1 more source
Pseudo-fractional differential equations and generalized g-Laplace transform
, 2021 In this article, we introduce a generalized g-Laplace transform and discuss some essential results of integral transform theory, in particular, involving a ψ-Hilfer pseudo-fractional derivative and function convolution. In this sense, we investigated the
de Oliveira, E. Capelas +8 more
core +1 more source
Pseudo almost periodic solutions of infinite class in the α-norm under the light of measure theory [PDF]
European Journal of Mathematics and ApplicationsThe aim of this work is to study weighted pseudo almost periodic functions with infinite delay via measure theory. Using the Banach fixed point theorem and the techniques of fractional powers of an operator, we establish the existence and uniqueness of $(
Djendode Mbainadji +2 more
doaj +1 more source
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
doaj +1 more source
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.
doaj +1 more source
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
doaj +1 more source
Continuity of Gevrey-Hörmander pseudo-differential operators on modulation spaces
, 2019 Let s ≥ 1, ω,ω ∈ P^0_{E,s} , a ∈ \Gamma _s^(ω_0), and let B be a suitable invariant quasi-Banach function space. Then we prove that the pseudo-differential operator Op(a) is continuous from M(ω_0·ω, B) to M(ω, B).
Toft, Joachim,
core +1 more source
TableE13-Pseudo-bulk-of-scRNA-seq-EMT-differential-lncRNA-expression-list.xlsx
, 2022 TableE13-Pseudo-bulk-of-scRNA-seq-EMT-differential-lncRNA-expression-list ...
Adam Williams (12021065) +1 more
core +1 more source
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
doaj +1 more source