Abstract
IN THIS Chapter the notion of Sobolev space H1(Ω) is introduced. We state the Sobolev imbedding theorem, Rellich theorem, and Trace theorem for H1(Ω), without proof. For the proof of the theorems the reader is referred to ADAMS [1].
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© 1979 Springer-Verlag Berlin Heidelberg
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Mercier, B. (1979). Sobolev Spaces. In: Topics in Finite Element Solution of Elliptic Problems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-40197-2_1
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DOI: https://doi.org/10.1007/978-3-662-40197-2_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-39197-6
Online ISBN: 978-3-662-40197-2
eBook Packages: Springer Book Archive