Abstract
The main focus of chapter 8 is the establishment of basic concepts on Lebesgue and Sobolev spaces. The results developed include the classical Sobolev imbedding and trace theorems for a special class of domains.
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References
R.A. Adams, Sobolev Spaces (Academic Press, New York, 1975)
R.A. Adams, J.F. Fournier, Sobolev Spaces, 2nd edn. (Elsevier, Oxford, UK, 2003)
L.C. Evans, Partial Differential Equations, Graduate Studies in Mathematics, vol. 19 (American Mathematical Society, Providence, Rhode Island, 1998)
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Botelho, F. (2014). The Lebesgue and Sobolev Spaces. In: Functional Analysis and Applied Optimization in Banach Spaces. Springer, Cham. https://doi.org/10.1007/978-3-319-06074-3_8
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DOI: https://doi.org/10.1007/978-3-319-06074-3_8
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Publisher Name: Springer, Cham
Print ISBN: 978-3-319-06073-6
Online ISBN: 978-3-319-06074-3
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