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About: Domain (mathematical analysis)     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : yago:Statement106722453, within Data Space : dbpedia.demo.openlinksw.com associated with source document(s)

Type: Thingyago:WikicatPartialDifferentialEquationsyago:Abstraction100002137yago:Communication100033020yago:DifferentialEquation106670521yago:Equation106669864yago:MathematicalStatement106732169yago:Message106598915yago:PartialDifferentialEquation106670866yago:Statement106722453 New Facet based on Instances of this Class

In mathematical analysis, a domain or region is a non-empty connected open set in a topological space, in particular any non-empty connected open subset of the real coordinate space Rn or the complex coordinate space Cn. This is a different concept than the domain of a function, though it is often used for that purpose, for example in partial differential equations and Sobolev spaces. A bounded domain is a domain which is a bounded set, while an exterior or external domain is the interior of the complement of a bounded domain.