Rate of convergence in the large diffusion limit for the heat equation with a dynamical boundary condition
Марек Фила, Kazuhiro Ishige, Tatsuki Kawakami, Johannes Lankeit · Asymptotic Analysis · 2019
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.