具有动力边界条件的热方程大扩散极限下的收敛速度

Asymptot. Anal. Pub Date : 2018-06-16 DOI:10.3233/ASY-181517

M. Fila, Kazuhiro Ishige, Tatsuki Kawakami, J. Lankeit

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引用次数: 3

摘要

研究了具有线性动力学边界条件的半空间和外域上的热方程。我们的主要目的是建立与扩散系数趋于无穷时具有相同动力学边界条件的拉普拉斯方程解的收敛速率。

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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Rate of convergence in the large diffusion limit for the heat equation with a dynamical boundary condition

We study the heat equation on a half-space or on an exterior domain with a linear dynamical boundary condition. Our main aim is to establish the rate of convergence to solutions of the Laplace equation with the same dynamical boundary condition as the diffusion coefficient tends to infinity.

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来源期刊

Asymptot. Anal.

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