About: Sobolev space

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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

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dbo:description
  • spazio vettoriale (it)
  • typ przestrzeni w matematyce (pl)
  • Banachov prostor funkcij, opremljen z normo, ki je kombinacija Lᵖ-norm same funkcije in njenih šibkih derivatov do danega reda (sl)
  • espace fonctionnel adapté à la résolution de problèmes d'équation aux dérivées partielles (fr)
  • 函數組成的巴拿赫空間，其範數為函數自身的Lᵖ範數，及最初若干階導數Lᵖ範數的和 (zh)
  • tipus d'espai de Banach (ca)
  • banaĥa spaco de funkcioj, kun normo kiu estas kunaĵo de Lᵖ-normoj de la (malfortaj) derivaĵoj de funkcio ekde 0 ĝis iu ordo k (eo)
  • 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 (en)
  • 函数からなるベクトル空間で、函数それ自身とその与えられた階数までの導函数の Lp-ノルムを組み合わせて得られるノルムを備えた空間 (ja)
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dbp:first
  • S.M. (en)
dbp:id
  • Imbedding_theorems&oldid=14600 (en)
  • Sobolev_space&oldid=17396 (en)
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  • Nikol'skii (en)
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  • Assume Ω is bounded with Lipschitz boundary. Then there exists a bounded linear operator such that (en)
dbp:name
  • Trace theorem (en)
dbp:title
  • Sobolev space (en)
  • Imbedding theorems (en)
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  • Sobolev space (en)
  • Espai de Sóbolev (ca)
  • Sobolevův prostor (cs)
  • Sobolev-Raum (de)
  • Espacio de Sóbolev (es)
  • Espace de Sobolev (fr)
  • Spazio di Sobolev (it)
  • 소볼레프 공간 (ko)
  • ソボレフ空間 (ja)
  • Espaços de Sobolev (pt)
  • Sobolev-ruimte (nl)
  • Przestrzeń Sobolewa (pl)
  • Простір Соболєва (uk)
  • Пространство Соболева (ru)
  • 索伯列夫空间 (zh)
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