数学物理学报2025,Vol.45Issue(1) :101-109.

棱柱体中调和方程对基底扰动的连续依赖性

Continuous Dependence of Harmonic Equations on Base Perturbation in Prismatic Cylinder

陈雪姣 李丹丹 石金诚 曾鹏
数学物理学报2025,Vol.45Issue(1) :101-109.

棱柱体中调和方程对基底扰动的连续依赖性

Continuous Dependence of Harmonic Equations on Base Perturbation in Prismatic Cylinder

陈雪姣 1李丹丹 1石金诚 1曾鹏1
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作者信息

  • 1. 广州华商学院应用数学系 广州 511300
  • 折叠

摘要

该文研究定义在基底受到扰动的半无限圆柱体内的调和方程对基本几何结构和衰减行为的连续依赖关系.假设在柱体的侧面上调和方程满足齐次边界条件,利用微分不等式技术,推导出了一个关于几何基底的扰动和解的差异的微分不等式.该微分不等式可以直接推导出解对扰动参数和基底上己知数据的连续依赖性.

Abstract

This article establishes the continuous dependence of the harmonic equation on its basic geometry and load of the decay behaviour in a prismatic semi-infinite cylinder.Assuming that the harmonic equation on the side of the cylinder satisfies homogeneous boundary conditions,a differential inequality technique is used to derive a differential inequality for perturbation of geometric bases and differences in solutions.This differential inequality can directly derive the continuous dependence of the solution on perturbation parameters and known data on the base.

关键词

调和方程/扰动/连续依赖性/微分方程

Key words

harmonic equation/perturbation/continuous dependence/differential equation

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出版年

2025
数学物理学报
中国科学院武汉物理与数学研究所

数学物理学报

CSCD北大核心
影响因子:0.266
ISSN:1003-3998
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