NDLI: Hitchhiker's guide to the fractional Sobolev spaces

Content Provider	Semantic Scholar
Author	Nezza, Eleonora Di Palatucci, Giampiero Valdinoci, Enrico
Copyright Year	2011
Abstract	This paper deals with the fractional Sobolev spaces W s;p . We analyze the relations among some of their possible denitions and their role in the trace theory. We prove continuous and compact embeddings, investigating the problem of the extension domains and other regularity results. Most of the results we present here are probably well known to the experts, but we believe that our proofs are original and we do not make use of any interpolation techniques nor pass through the theory of Besov spaces. We also present some counterexamples in non-Lipschitz domains.
Starting Page	521
Ending Page	573
Page Count	53
File Format	PDF HTM / HTML
DOI	10.1016/j.bulsci.2011.12.004
Alternate Webpage(s)	http://palatucci.altervista.org/opera/din-pal-val.pdf
Alternate Webpage(s)	http://cvgmt.sns.it/media/doc/paper/1385/dpv-revised-preprint.pdf
Alternate Webpage(s)	https://arxiv.org/pdf/1104.4345v3.pdf
Alternate Webpage(s)	http://www.instmath.rwth-aachen.de/~heiko/lehre/varisemWS11-12/hitchikers_guide_fractional_sobolev_4_2011.pdf
Alternate Webpage(s)	http://mipa.unimes.fr/preprints/MIPA-Preprint05-2011.pdf
Alternate Webpage(s)	https://doi.org/10.1016/j.bulsci.2011.12.004
Volume Number	136
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article

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Hitchhiker's guide to the fractional Sobolev spaces