Rate of convergence in the large diffusion limit for the heat equation with a dynamical boundary condition

2018/12/31 by Fila, Marek, Ishige, Kazuhiro, Kawakami, Tatsuki +1
#35B40 #35K05 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1901.00017

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.

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