The large diffusion limit for the heat equation with a dynamical boundary condition

Published 16 Jun 2018 in math.AP | (1806.06308v1)

Abstract: 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.

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