棱柱体中调和方程对基底扰动的连续依赖性

Abstract

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.

Key words: harmonic equation, perturbation, continuous dependence, differential equation

CLC Number:

O175.29

Chen Xuejiao, Li Dandan, Shi Jincheng, Zeng Peng. Continuous Dependence of Harmonic Equations on Base Perturbation in Prismatic Cylinder[J].Acta mathematica scientia,Series A, 2025, 45(1): 101-109.

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References

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Continuous Dependence of Harmonic Equations on Base Perturbation in Prismatic Cylinder

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