= Lipschitz domain
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A Lipschitz domain is an open connected subset of <Euclidean space> whose boundary is locally the graph of a <Lipschitz continuous> function after rotating and translating coordinates. Locally the domain lies on one side of that graph. This permits corners but excludes boundary cusps that cannot be represented with a finite Lipschitz constant. Bounded Lipschitz domains are a standard setting for <Sobolev spaces> and the <Poincaré inequality for total variation>.
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