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The first section of this chapter is dedicated to the basic definitions and properties of domains in ℝd. We particularly focus our attention on the case of Lipschitz domains for which we can easily define an integration theory on ∂Ω, the outward unit normal on ∂Ω, and finally prove the Stokes formula which is the keystone of the study of partial differential equations on domains.
KeywordsSobolev Space Open Covering Lipschitz Domain Regularity Property Extension Operator
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