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.
Asymptotic analysis of the Dirichlet fractional Laplacian in domains becoming unbounded
Freddi L.
;Musina R.Ultimo
2020-01-01
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.File in questo prodotto:
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