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arXiv · 2202.01026

A perturbation result for a Neumann problem in a periodic domain

Matteo Dalla Riva·Paolo Luzzini·Paolo Musolino
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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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Matteo Dalla Riva, Paolo Luzzini, Paolo Musolino. 2022-02-02. A perturbation result for a Neumann problem in a periodic domain. https://arxiv.org/abs/2202.01026

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