Sobolev inclusion theorem

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• Sobolev inequality — In mathematics, there is in mathematical analysis a class of Sobolev inequalities, relating norms including those of Sobolev spaces. These are used to prove the Sobolev embedding theorem, giving inclusions between certain Sobolev spaces, and the… …   Wikipedia

• Rellich-Kondrachov theorem — In mathematics, the Rellich Kondrachov theorem is a compact embedding theorem concerning Sobolev spaces. It is named after the Italian Austrian mathematician Franz Rellich. tatement of the theoremLet Ω ⊆ R n be an open, bounded Lipschitz domain,… …   Wikipedia

• Elliptic boundary value problem — In mathematics, an elliptic boundary value problem is a special kind of boundary value problem which can be thought of as the stable state of an evolution problem. For example, the Dirichlet problem for the Laplacian gives the eventual… …   Wikipedia

• Malliavin derivative — In mathematics, the Malliavin derivative is a notion of derivative in the Malliavin calculus. Intuitively, it is the notion of derivative appropriate to paths in classical Wiener space, which are usually not differentiable in the usual… …   Wikipedia

• Hilbert space — For the Hilbert space filling curve, see Hilbert curve. Hilbert spaces can be used to study the harmonics of vibrating strings. The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space. It… …   Wikipedia

• Continuously embedded — In mathematics, one normed vector space is said to be continuously embedded in another normed vector space if the inclusion function between them is continuous. In some sense, the two norms are almost equivalent , even though they are not both… …   Wikipedia