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 :
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Sobolev spaces
Variational formulation of elliptic boundary problems
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