Characterization of Sobolev and BV Spaces
By Daniel Spector. 2011
106 citations recorded by the source corpus.
Abstract The main results of this paper are new characterizations of W 1 , p ( Ω ) , 1 p ∞ , and BV ( Ω ) for Ω ⊂ R N an arbitrary open set. Using these results, we answer some open questions of Brezis (2002) [10] and Ponce (2004) [25] .
Subfields: Applied Mathematics, Mechanics of Materials, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/74afc7d45aac9cbfd845d32115fd7806cc1b9de0
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In Applied Mathematics
In Mechanics of Materials
In Numerical Analysis
Citations in the corpus
- Localization of nonlocal gradients in various topologies (2015, methodology): “7) In [5] and [19], the finiteness of the limit of the right hand side in (1.”