Results 11 to 20 of about 3,215 (245)

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, Vladimir B. 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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Kadomtsev-Petviashvili hierarchies with non-formal pseudo-differential operators, non-formal solutions, and a Yang-Mills–like formulation

Physics Letters B
We 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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A new class of pseudo-differential operators [PDF]

Proceedings of the National Academy of Sciences, 1978
We describe a class of pseudo-differential operators and their singular integral realizations and show how these may be used to give precise estimates in various function spaces. Application will be given in particular to several situations in which subelliptic estimates arise for partial differential equations.
Nagel, Alexander, Stein, Elias M.
openaire   +2 more sources

The Dixmier trace and the Wodzicki residue for global pseudo-differential operators on compact manifolds.

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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Boundedness of the pseudo-differential operators generated by 1D-Dunkl operator

Қарағанды университетінің хабаршысы. Математика сериясы
This article is devoted to the study of pseudo-differential operators generated by Dunkl operators, focusing primarily on their boundedness properties.
B. Bekbolat, N. Tokmagambetov
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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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