Spaces and Operators
Keyword(s):
Open Set
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This chapter consists mainly of definitions and various properties (without proofs) of spaces and operators used in this book. It defines O as an open set in Rᶰ such that it is locally on one side of its boundary Γ := δO, which is supposed to be bounded and Lipschitz. The chapter is mainly focused on the case of N = 3. Further, without loss of generality, the chapter supposes that Γ is connected (for otherwise, one could work separately at each connected component). Such a set O is referred to as ‘regular’ in what follows. Let n denote the outward unit normal vector to Γ. In addition, let Oₑ := Rᶰ∖Ō: By N₀ we denote the set N ∪ {0}.
2021 ◽
2017 ◽
Vol 35
(3)
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pp. 79-93
Keyword(s):
1996 ◽
Vol 210
(2)
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pp. 135-141
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Keyword(s):
Keyword(s):
2012 ◽
Vol 542-543
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pp. 537-540
Keyword(s):
Keyword(s):