A perturbation result for a Neumann problem in a periodic domain

2022/02/02 by Riva, Matteo Dalla, Luzzini, Paolo, Musolino, Paolo
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2202.01026

Abstract

We consider a Neumann problem for the Laplace equation in a periodic domain. We prove that the solution depends real analytically on the shape of the domain, on the periodicity parameters, on the Neumann datum, and on its boundary integral.

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