On a Digital Version of Pseudo-Differential Operators and Its Applications

机译：伪微分算子的数字版本及其应用

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摘要

We develop discrete variant of a theory of pseudo-differential operators and equations. For some canonical domains we obtain solvability results for such equations and use these results to construct approximate solutions.

机译：我们开发了伪微分算子和方程理论的离散变体。对于某些规范域，我们获得了此类方程的可解性结果，并使用这些结果来构造近似解。

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《Finite difference methods: theory and applications》|2018年|596-603|共8页
会议地点 Lozenetz(BG)
作者
Vladimir B. Vasilyev;
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作者单位

Belgorod National Research University, Belgorod 308007, Russia;

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会议组织
原文格式 PDF
正文语种 eng
中图分类
关键词
Digital pseudo-differential operator; Periodic factorization; Approximate solution;

机译：数字伪微分运算符；定期分解近似解;

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1. Two versions of fractional powers of Hankel-type transformations and pseudo-differential operators [J] . Akhilesh Prasad, Kanailal Mahato Rendiconti del Circolo Matematico di Palermo . 2016,第2期

机译：Hankel型变换和伪微分算子的分数次幂的两种形式
2. Characterizations of nuclear pseudo-differential operators on S-1 with applications to adjoints and products [J] . Ghaemi M. B., Birgani M. Jamalpour, Wong M. W. Journal of pseudo-differential operators and applications . 2017,第2期

机译：S-1上核伪微分算子的表征及其在伴随物和产物中的应用
3. Parabolic Littlewood-Paley inequality for a class of time-dependent pseudo-differential operators of arbitrary order, and applications to high-order stochastic PDE [J] . Kim Ildoo, Kim Kyeong-Hun, Lim Sungbin Journal of Mathematical Analysis and Applications . 2016,第2期

机译：一类时间依赖的任意阶伪微分算子的抛物型Littlewood-Paley不等式及其在高阶随机PDE中的应用
4. On a Digital Version of Pseudo-Differential Operators and Its Applications [C] . Vladimir B. Vasilyev International Conference on Finite Difference Methods . 2019

机译：关于伪差分运算符及其应用的数字版本
5. Radial Estimate of Isotropic Pseudo-Differential Operators via FBI Transform [D] . Zhu, Beite. 2020

机译：通过FBI变换的各向同性伪差分运营商的径向估计
6. Symplectic geometry and positivity of pseudo-differential operators [O] . C. Fefferman, D. H. Phong 1982

机译：伪微分算子的辛几何和正性
7. Pseudo-Differential Operators on $${mathbb {Z}}^n$$ Z n with Applications to Discrete Fractional Integral Operators [O] . Duván Cardona 2019

机译：在$$ { mathbb {z}}上的伪差分运算符^ n $$ z n，其中包含用于离散的分数积分运算符
8. Mathematical Studies: Pseudo-Differential Operators; Non-Coercive Boundary Value Problems; Fredholm Operators and the Essential Spectrum; the Limiting Amplitude Principal; and Transonic Flow [R] . Nirenberg, L. 1965

机译：数学研究：伪微分算子;非强制性边值问题; Fredholm算子和基本谱;限制幅度主体;和跨音速流动

On a Digital Version of Pseudo-Differential Operators and Its Applications

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