@article{2f8b2375277e4bcc958572bee36a8b89,
title = "The large diffusion limit for the heat equation in the exterior of the unit ball with a dynamical boundary condition",
abstract = "We study the heat equation in the exterior of the unit ball with a linear dynamical boundary condition. Our main aim is to find upper and lower bounds for the rate of convergence to solutions of the Laplace equation with the same dynamical boundary condition as the diffusion coefficient tends to infinity.",
keywords = "Convergence rate, Dynamical boundary condition, Exterior domain, Heat equation, Large diffusion limit",
author = "Marek Fila and Kazuhiro Ishige and Tatsuki Kawakami and Johannes Lankeit",
note = "Funding Information: Acknowledgments. The first author was supported in part by the Slovak Research and Development Agency under the contract No. APVV-18-0308 and by VEGA grant 1/0347/18. The second and third authors of this paper were supported in part by JSPS KAKENHI Grant Numbers JP 19H05599. The third author was also supported in part by JSPS KAKENHI Grant Numbers JP 16K17629 and JP 20K03689. Publisher Copyright: {\textcopyright} 2020 American Institute of Mathematical Sciences. All rights reserved.",
year = "2020",
month = jul,
doi = "10.3934/dcds.2020289",
language = "English",
volume = "40",
pages = "6529--6546",
journal = "Discrete and Continuous Dynamical Systems- Series A",
issn = "1078-0947",
publisher = "American Institute of Mathematical Sciences",
number = "11",
}