A perturbation result for a Neumann problem in a periodic domain
Analysis of PDEs
2022-02-03 v1
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.
Keywords
Cite
@article{arxiv.2202.01026,
title = {A perturbation result for a Neumann problem in a periodic domain},
author = {Matteo Dalla Riva and Paolo Luzzini and Paolo Musolino},
journal= {arXiv preprint arXiv:2202.01026},
year = {2022}
}