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Weyl’s Law for the Steklov Problem on Surfaces with Rough Boundary

The validity of Weyl’s law for the Steklov problem on domains with Lipschitz boundary is a well-known open question in spectral geometry. We answer this question in two dimensions and show that Weyl’s law holds for an even larger class of surfaces with rough boundaries. This class includes domains w...

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Detalles Bibliográficos
Autores principales: Karpukhin, Mikhail, Lagacé, Jean, Polterovich, Iosif
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2023
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10415495/
https://www.ncbi.nlm.nih.gov/pubmed/37576945
http://dx.doi.org/10.1007/s00205-023-01912-6