为继续解决病菌问题

IF 0.6 4区数学 Q3 MATHEMATICS

Mathematical Notes Pub Date : 2024-07-05 DOI:10.1134/s0001434624030350

N. A. Shananin

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引用次数: 0

摘要

摘要本说明通过一个线性偏微分方程的范例，证明了广义解的延续性质是如何根据方程的主实变解析符号所产生的微分系统类型以及方程最低项的无限可变系数是否属于实变解析函数类而发生变化的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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To the Continuation of Solution Germs

Abstract

In the note, by a model example of a linear partial differential equation, it is demonstrated how the properties of continuation of germs of generalized solutions are changed depending on the type of differential system generated by the principal real-analytic symbol of the equation and on whether the infinitely differentiable coefficient at the lowest term of the equation belongs to the class of real-analytic functions.

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来源期刊

Mathematical Notes 数学-数学

CiteScore

0.90

自引率

16.70%

发文量

179

审稿时长

24 months

期刊介绍： Mathematical Notes is a journal that publishes research papers and review articles in modern algebra, geometry and number theory, functional analysis, logic, set and measure theory, topology, probability and stochastics, differential and noncommutative geometry, operator and group theory, asymptotic and approximation methods, mathematical finance, linear and nonlinear equations, ergodic and spectral theory, operator algebras, and other related theoretical fields. It also presents rigorous results in mathematical physics.