Sobolev space (Q3070): Difference between revisions

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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
Language Label Description Also known as
English
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

    Statements

    subclass of
    Banach space
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    Besov space
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    time of discovery or invention
    1938
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    defining formula
    Ws,p(M)={f∈Lp(M):∑μ1,…,μkTμ1,…,μk∂μ1⋯∂μkf∈Lp(M;𝕂)∀T∈Γ∞(TM⊗k),‖T‖≤1,k≤s}
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    schematic
    Sobolev embedding theorem.svg
    340 × 229; 38 KB
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    Identifiers

    Freebase ID
    /m/02wg2m
    1 reference
    stated in
    Freebase Data Dumps
    publication date
    28 October 2013
    JSTOR topic ID
    sobolev-spaces
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    MathWorld ID
    SobolevSpace
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    nLab ID
    Sobolev space
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    Microsoft Academic ID
    99730327
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    NL CR AUT ID
    ph118093
    subject named as
    Sobolevovy prostory
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    Treccani's Enciclopedia della Matematica ID
    spazi-di-sobolev
    subject named as
    Sobolev, spazi di
    publication date
    2013
    0 references
    PlanetMath ID
    SobolevSpace
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    ScienceDirect topic ID
    physics-and-astronomy/sobolev-space
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    ProofWiki ID
    Definition:Sobolev_Space
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    Wikidata QID
    Q1501536
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