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From Steklov to Neumann via homogenisation

We study a new link between the Steklov and Neumann eigenvalues of domains in Euclidean space. This is obtained through an homogenisation limit of the Steklov problem on a periodically perforated domain, converging to a family of eigenvalue problems with dynamical boundary conditions. For this probl...

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Detalles Bibliográficos
Autores principales: Girouard, Alexandre, Henrot, Antoine, Lagacé, Jean
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2020
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7813763/
https://www.ncbi.nlm.nih.gov/pubmed/33505043
http://dx.doi.org/10.1007/s00205-020-01588-2