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.
Dalla Riva M., Luzzini P., Musolino P. (2023). A Perturbation Result for a Neumann Problem in a Periodic Domain. In Analysis, Applications, and Computations Proceedings of the 13th ISAAC Congress, Ghent, Belgium, 2021 (pp. 271-282). Springer Science and Business Media Deutschland GmbH [10.1007/978-3-031-36375-7_20].
A Perturbation Result for a Neumann Problem in a Periodic Domain
Dalla Riva M.;
2023-01-01
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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