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Sobolev inequality
Theorem about inclusions between Sobolev spaces
Sobolev inequality
In mathematics, especially mathematical analysis, the Sobolev inequalities are a class of inequalities relating norms including those of Sobolev spaces. They are used to prove the Sobolev embedding theorem, which gives inclusions between certain Sobolev spaces, and the Rellich–Kondrachov theorem which gives slightly stronger conditions under which some Sobolev spaces are compactly embedded in others. They are named after Sergei Lvovich Sobolev.
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