诺伊曼边界值问题的均质化：多边形域

Indian Journal of Pure and Applied Mathematics Pub Date : 2024-04-20 DOI:10.1007/s13226-024-00590-8

Jie Zhao, Juan Wang, Jianlin Zhang

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引用次数: 0

摘要

本文研究了凸多边形域中具有快速振荡 Neumann 边界数据的偏微分方程解的均质化问题的收敛率。因此，我们得到了点收敛和（L^{p}\）收敛结果。我们的技术基于傅立叶分析方法以及边界上的 Diophantine 条件

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Homogenization of the Neumann boundary value problem: polygonal domains

In this paper, we study the convergence rates for homogenization problems for solutions of partial differential equations with rapidly oscillating Neumann boundary data in the convex polygonal domains. As a consequence, we obtain the pointwise and \(L^{p}\) convergence results. Our techniques are based on using Fourier analysis method as well as Diophantine condition on the boundary

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Indian Journal of Pure and Applied Mathematics

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