3. Sobolev spaces
3.1 Sobolev space H1(Ω)
These spaces play a fundamental role in the solution of partial differential equations (PDEs), as we shall see in detail in the following paragraph. Their definition is based on the notion of derivative in the sense of distributions, and the space
(Ω open from
) of integrable square functions plays a central role. Recall that :
The Ultimate Scientific and Technical Reference
This article is included in
Mathematics
This offer includes:
Knowledge Base
Updated and enriched with articles validated by our scientific committees
Services
A set of exclusive tools to complement the resources
Practical Path
Operational and didactic, to guarantee the acquisition of transversal skills
Doc & Quiz
Interactive articles with quizzes, for constructive reading
Sobolev spaces
Variational formulation of elliptic boundary problems
References
The Ultimate Scientific and Technical Reference
