Results 21 to 30 of about 3,685,749 (356)
$$L^p$$-Bounds for Pseudo-differential Operators on Graded Lie Groups [PDF]
Journal of Geometric Analysis, 2019 In this work we obtain sharp $L^p$-estimates for pseudo-differential operators on arbitrary graded Lie groups. The results are presented within the setting of the global symbolic calculus on graded Lie groups by using the Fourier analysis associated to ...
Duv'an Cardona +2 more
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Meta-learning Pseudo-differential Operators with Deep Neural Networks [PDF]
Journal of Computational Physics, 2019 This paper introduces a meta-learning approach for parameterized pseudo-differential operators with deep neural networks. With the help of the nonstandard wavelet form, the pseudo-differential operators can be approximated in a compressed form with a ...
Jordi Feliu-Fabà +2 more
semanticscholar +1 more source
Learning nonlinear operators via DeepONet based on the universal approximation theorem of operators [PDF]
Nature Machine Intelligence, 2019 It is widely known that neural networks (NNs) are universal approximators of continuous functions. However, a less known but powerful result is that a NN with a single hidden layer can accurately approximate any nonlinear continuous operator.
Lu Lu +4 more
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Journal of Function Spaces, 2021 In this paper, we investigate the implementations of newly introduced nonlocal differential operators as convolution of power law, exponential decay law, and the generalized Mittag-Leffler law with fractal derivative in fluid dynamics.
Imran Siddique +4 more
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Mathematical methods in the applied sciences, 2020 The newly generalized energy storage component, namely, memristor, which is a fundamental circuit element so called universal charge‐controlled mem‐element, is proposed for controlling the analysis and coexisting attractors.
K. A. Abro, A. Atangana
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The regularity properties and blow-up of the solutions for improved Boussinesq equations
Electronic Journal of Qualitative Theory of Differential Equations, 2021 In this paper, we study the Cauchy problem for linear and nonlinear Boussinesq type equations that include the general differential operators. First, by virtue of the Fourier multipliers, embedding theorems in Sobolev and Besov spaces, the existence ...
Veli Shakhmurov, Rishad Shahmurov
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Pseudo-Differential Operators Associated with the Jacobi Differential Operator
Journal of Mathematical Analysis and Applications, 1998 The authors consider pseudo-differential operators on \((0,+\infty)\), defined in terms of the Fourier-Jacobi transform: \[ (Ff)(\xi)=\widehat f(\xi)=\int^\infty_0\varphi_\xi(x)f(x)dm(x) \] where \(\varphi_\xi(x)\) is the Jacobi function and \(dm(x)\) the associated measure. Precisely, for a suitable class of symbols \(p(x,\xi)\), one sets \[ p(x,D)f(x)
Ben Salem, N., Dachraoui, A.
openaire +1 more source
Classification of self-adjoint domains of odd-order differential operators with matrix theory
Open Mathematics, 2023 In this article, we investigate the classification of self-adjoint boundary conditions of odd-order differential operators. We obtain that for odd-order self-adjoint boundary conditions under some assumptions, there are exactly two basic types of self ...
Zhang Maozhu, Hao Xiaoling, Wang Jing
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A remark on rational Cherednik algebras and differential operators on the cyclic quiver [PDF]
, 2006 We show that the spherical subalgebra Uk,c of the rational Cherednik algebra associated to Sn 2 Cl, the wreath product of the symmetric group and the cyclic group of order l, is isomorphic to a quotient of the ring of invariant differential operators on ...
Gordon, I.
core +1 more source
Sequences of Groups, Hypergroups and Automata of Linear Ordinary Differential Operators
Mathematics, 2021 The main objective of our paper is to focus on the study of sequences (finite or countable) of groups and hypergroups of linear differential operators of decreasing orders.
Jan Chvalina +3 more
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