Results 11 to 20 of about 25,186 (260)
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 +3 more
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A New Hybrid Method Based on Pseudo Differential Operators and Haar Wavelet to Solve ODEs [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2018 In this paper we present a new and efficient method by combining pseudo differential operators and Haar wavelet to solve the linear and nonlinear differential equations. The present method performs extremely well in terms of efficiency and simplicity.
M.B. Ghaemi +2 more
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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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KP-KdV Hierarchy and Pseudo-Differential Operators
Communications in Advanced Mathematical Sciences, 2019 The study of KP-KdV equations are the archetype of integrable systems and are one of the most fundamental equations of soliton phenomena and a topic of active mathematical research.
Lesfari Ahmed
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Pseudo-differential operators and equations in a discrete half-space
Mathematical Modelling and Analysis, 2018 We introduce a digital pseudo-differential operator acting in discrete Sobolev--Slobodetskii spaces and consider pseudo-differential equations with such operators in a discrete half-space.
Alexander V. Vasilyev +1 more
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Fundamental Results for Pseudo-Differential Operators of Type 1, 1
Axioms, 2016 This paper develops some deeper consequences of an extended definition, proposed previously by the author, of pseudo-differential operators that are of type 1 , 1 in Hörmander’s sense. Thus, it contributes to the long-standing problem of creating
Jon Johnsen
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Towards semi-classical analysis for sub-elliptic operators
Bruno Pini Mathematical Analysis Seminar, 2022 We discuss the recent developments of semi-classical and micro-local analysis in the context of nilpotent Lie groups and for sub-elliptic operators.
Véronique Fischer
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Physics Letters BWe start from the classical Kadomtsev-Petviashvili (KP) hierarchy posed on formal pseudo-differential operators, and we produce new hierarchies of non-linear equations in the context of non-formal pseudo-differential operators lying in the Kontsevich and
Jean-Pierre Magnot, Enrique G. Reyes
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On diffeological principal bundles of non-formal pseudo-differential operators over formal ones
Pracì Mìžnarodnogo Geometričnogo Centru, 2023 We describe the structure of diffeological bundle of non formal classical pseudo-differential operators over formal ones, and its structure group. For this, we give results on diffeological principal bundles with (a priori) no local trivialization ...
Jean-Pierre Magnot
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Revista Integración, 2020 In this note, we announce the results of our investigation on the Dixmier trace and the Wodzicki residue for pseudo-differential operators on compact manifolds.
Duván Cardona, César del Corral
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