Data di Pubblicazione:
2015
Citazione:
Density properties for fractional sobolev spaces / A. Fiscella, R. Servadei, E. Valdinoci. - In: ANNALES ACADEMIAE SCIENTIARUM FENNICAE. MATHEMATICA. - ISSN 1239-629X. - 40:1(2015), pp. 235-253. [10.5186/aasfm.2015.4009]
Abstract:
Aim of this paper is to give the details of the proof of some density properties of smooth and compactly supported functions in the fractional Sobolev spaces and suitable modifications of them, which have recently found application in variational problems. The arguments are rather technical, but, roughly speaking, they rely on a basic technique of convolution (which makes functions C∞), joined with a cut-off (which makes their support compact), with some care needed in order not to exceed the original support.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Density properties; Fractional laplacian; Fractional sobolev spaces; Integrodifferential operators; Mathematics (all)
Elenco autori:
A. Fiscella, R. Servadei, E. Valdinoci
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