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Sobolev space

Creator
Creator
Seonglae ChoSeonglae Cho
Created
Created
2025 Jan 12 14:40
Editor
Editor
Seonglae ChoSeonglae Cho
Edited
Edited
2025 Jan 12 14:48
Refs
Refs
A Sobolev space is a set of functions (vector space) that deals with functions having specific smoothness and integrability.
Sobolev Space Notion
Dirichlet energy
 
 
 
 
 
Sobolev space
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.
Sobolev space
https://en.wikipedia.org/wiki/Sobolev_space
 
 

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Sobolev space
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