Rate of convergence in the large diffusion limit for the heat equation with a dynamical boundary condition
Analysis of PDEs
2019-01-03 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1901.00017,
title = {Rate of convergence in the large diffusion limit for the heat equation with a dynamical boundary condition},
author = {Marek Fila and Kazuhiro Ishige and Tatsuki Kawakami and Johannes Lankeit},
journal= {arXiv preprint arXiv:1901.00017},
year = {2019}
}