In this paper we analyze the asymptotic behaviour of the Dirichlet fractional Laplacian (−ΔRn+k)s, with s∈(0,1), on bounded domains in Rn+k that become unbounded in the last k-directions. A dimension reduction phenomenon is observed and described via Γ-convergence.
Titolo: | Asymptotic analysis of the Dirichlet fractional Laplacian in domains becoming unbounded | |
Autori: | MUSINA, Roberta (Ultimo) | |
Data di pubblicazione: | 2020 | |
Rivista: | ||
Abstract: | In this paper we analyze the asymptotic behaviour of the Dirichlet fractional Laplacian (−ΔRn+k)s, with s∈(0,1), on bounded domains in Rn+k that become unbounded in the last k-directions. A dimension reduction phenomenon is observed and described via Γ-convergence. | |
Handle: | http://hdl.handle.net/11390/1173892 | |
Appare nelle tipologie: | 1.1 Articolo in rivista |
File in questo prodotto:
File | Descrizione | Tipologia | Licenza | |
---|---|---|---|---|
2020_JMMA.pdf | Versione Editoriale (PDF) | Non pubblico | Accesso ristretto Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.