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A Sobolev space is a vector space of functions equipped with a norm that is a combination of Lp-norms of the function itself and its derivatives up to a given order.
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Property Sobolev space [closed]
Let $U \subset \mathbb{R}^d$ be open, $k \in \mathbb{N}$ and $1\leq p<\infty$. Furthermore we take a function $f$ contained in the Sobolev space, $f \in W^{k,p}(U)$. Take a look at the following asser …