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Results tagged with sobolev-spaces
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user 44979
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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The infimum over Sobolev norms of compactly supported functions which are 1 on an interval
Let $n\in \mathbb{N}_{0}$. I am interested in the quantity
$\inf\{\|\psi\|_{W^{1,n}(\mathbb{R})}\mid \psi\in W^{1,n}(\mathbb{R}), 0\leq \psi \leq 1, \psi\equiv 1 \text{ on }[-1/2,1/2], \text{ supp}( …
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