Sobolev space
Banach space of functions equipped with a norm that is a combination of Lᵖ-norms of the function itself and its weak derivatives up to a given order
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Sobolev space
Summary
Sobolev space is a mathematical concept[1]. It ranks in the top 5% of mathematical_concept entities by monthly Wikipedia readership (2,179 views/month).[2]
Key Facts
- Sobolev space is credited with the discovery of Sergei Sobolev[3].
- Sobolev space's instance of is recorded as mathematical concept[4].
- Sergei Sobolev is named after Sobolev space[5].
- Sobolev space is a type of Banach space[6].
- Sobolev space is a type of Besov space[7].
- Sobolev space is a type of Triebel–Lizorkin space[8].
- Sobolev space's time of discovery or invention is recorded as 1938[9].
- Sobolev space's topic's main category is recorded as Category:Sobolev spaces[10].
- Sobolev space's Stack Exchange tag is recorded as https://mathoverflow.net/tags/sobolev-spaces[11].
- Sobolev space's Stack Exchange tag is recorded as https://math.stackexchange.com/tags/sobolev-spaces[12].
- Sobolev space's maintained by WikiProject is recorded as WikiProject Mathematics[13].
Body
Definition and Type
Sobolev space's instance of is recorded as mathematical concept[4]. Recorded subclass of include Banach space[6], Besov space[7], and Triebel–Lizorkin space[8].
Origins
Sergei Sobolev is named after Sobolev space[5].
Why It Matters
Sobolev space ranks in the top 5% of mathematical_concept entities by monthly Wikipedia readership (2,179 views/month).[2] It has Wikipedia articles in 17 language editions, a strong signal of global cultural recognition.[14] It is known by 7 alternative names across languages and contexts.[15]