On Trace Theorems for Sobolev Spaces

11 Dec 2019 Lamberti Pier Domenico Provenzano Luigi

We survey a few trace theorems for Sobolev spaces on $N$-dimensional Euclidean domains. We include known results on linear subspaces, in particular hyperspaces, and smooth boundaries, as well as less known results for Lipschitz boundaries, including Besov's Theorem and other characterizations of traces on planar domains, polygons in particular, in the spirit of the work of P. Grisvard... (read more)

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  • FUNCTIONAL ANALYSIS