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The trace space of anisotropic least gradient functions depends on the anisotropy

We study the set of possible traces of anisotropic least gradient functions. We show that even on the unit disk it changes with the anisotropic norm: for two sufficiently regular strictly convex norms the trace spaces coincide if and only if the norms coincide. The example of a function in exactly o...

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Detalles Bibliográficos
Autor principal: Górny, Wojciech
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10587324/
https://www.ncbi.nlm.nih.gov/pubmed/37869580
http://dx.doi.org/10.1007/s00208-022-02488-4