Concept information
Preferred term
Sobolev space
Definition(s)
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In mathematics, a Sobolev space is a vector space of functions equipped with a norm that is a combination of Lp-norms of the function together with its derivatives up to a given order. The derivatives are understood in a suitable weak sense to make the space complete, i.e. a Banach space. Intuitively, a Sobolev space is a space of functions possessing sufficiently many derivatives for some application domain, such as partial differential equations, and equipped with a norm that measures both the size and regularity of a function.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Sobolev_space)
Broader concept(s)
In other languages
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French
URI
http://data.loterre.fr/ark:/67375/PSR-H4T13QGZ-9
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