Article | REF: AF146 V1

Distributions - Applications

Author: Michel DOISY

Publication date: October 10, 2006

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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

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Sobolev spaces