The large diffusion limit for the heat equation with a dynamical boundary condition
Марек Фила, Kazuhiro Ishige, Tatsuki Kawakami · Communications in Contemporary Mathematics · 2020
We study the heat equation on a half-space with a linear dynamical boundary condition. Our main aim is to show that, if the diffusion coefficient tends to infinity, then the solutions converge (in a suitable sense) to solutions of the Laplace equation with the same dynamical boundary condition.