Maslov's Canonical Operator in Problems on Localized Asymptotic Solutions of Hyperbolic Equations and Systems

V. E. Nazaikinskii; A. I. Shafarevich

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Maslov's Canonical Operator in Problems on Localized Asymptotic Solutions of Hyperbolic Equations and Systems

机译：Maslov在双曲方程和系统局部渐近解决方案中存在问题的规范算子

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摘要

An analog of Maslov's canonical operator is defined for functions localized in a neighborhood of subsets of positive codimension.

机译：Maslov的规范操作员的模拟被定义用于定位在积极编纂的子集附近的功能。

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来源
《Mathematical notes》 |2019年第4期|402-411|共10页
作者
V. E. Nazaikinskii; A. I. Shafarevich;
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作者单位

Ishlinsky Institute for Problems in Mechanics RAS Moscow 119526 Russia Moscow Institute of Physics and Technology (State University) Dolgoprudnyi Moscow Oblast 141701 Russia;

Ishlinsky Institute for Problems in Mechanics RAS Moscow 119526 Russia Moscow Institute of Physics and Technology (State University) Dolgoprudnyi Moscow Oblast 141701 Russia Lomonosov Moscow State University Moscow 119991 Russia National Research Center 'Kurchatov Institute ' Moscow 123182 Russia;

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正文语种 eng
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关键词
hyperbolic equation; hyperbolic system; localized solution; Maslov's canonical operator;

机译：双曲线方程;双曲线系统;本地化解决方案;Maslov的规范操作员;

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1. Analogue of Maslov's Canonical Operator for Localized Functions and Its Applications to the Description of Rapidly Decaying Asymptotic Solutions of Hyperbolic Equations and Systems [J] . Nazaikinskii V. E., Shafarevich A. I. Doklady. Mathematics . 2018,第2期

机译：Maslov的规范操作员模拟局部功能及其应用于迅速衰减双曲线方程和系统的渐近解
2. New representations of the Maslov canonical operator and localized asymptotic solutions for strictly hyperbolic systems [J] . Allilueva A. I., Dobrokhotov S. Yu., Sergeev S. A., Doklady. Mathematics . 2015,第2期

机译：Maslov正则算子的新表示形式和严格双曲系统的局部渐近解
3. The Maslov canonical operator on a pair of Lagrangian manifolds and asymptotic solutions of stationary equations with localized right-hand sides [J] . Anikin A. Yu., Dobrokhotov S. Yu., Nazaikinskii V. E., Doklady. Mathematics . 2017,第1期

机译：Maslov规范操作员在一对拉格朗日歧管和局部右侧固定式方程的渐近解
4. Asymptotic Behavior of Global Solutions for a Class of Nonlinear Hyperbolic Equation System [C] . Xiaoyan-ZHOU International conference on application of mathematics and physics;AMP2010 . 2010

机译：一类非线性双曲方程组整体解的渐近行为
5. Method of averaging in constructing asymptotics of solutions of systems of linear difference equations. [D] . Bourd, Alexei. 2003

机译：构造线性差分方程组解的渐近性的平均方法。
6. Solution of Some Types of Differential Equations: Operational Calculus and Inverse Differential Operators [O] . K. Zhukovsky -1

机译：一类微分方程的解：运算微积分和逆微分算子
7. The Maslov canonical operator on a pair of Lagrangian manifolds and asymptotic solutions of stationary equations with localized right-hand sides [O] . Anikin, A. Yu., Dobrokhotov, S. Yu., Nazaikinskii, V. E., 2017

机译：一对拉格朗日流形上的Maslov正则算子和具有局部右手边的平稳方程的渐近解

Maslov's Canonical Operator in Problems on Localized Asymptotic Solutions of Hyperbolic Equations and Systems

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