Abstract
The objective of the four chapters composing Part I of this book is to recall (or gently introduce) some elements of functional analysis that will be used throughout the book: Lebesgue integration, weak derivatives, and Sobolev spaces. We focus in this chapter on Lebesgue integration and Lebesgue spaces. Most of the results are stated without proof, but they are illustrated through various examples.
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Ern, A., Guermond, JL. (2021). Lebesgue spaces. In: Finite Elements I. Texts in Applied Mathematics, vol 72. Springer, Cham. https://doi.org/10.1007/978-3-030-56341-7_1
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DOI: https://doi.org/10.1007/978-3-030-56341-7_1
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Publisher Name: Springer, Cham
Print ISBN: 978-3-030-56340-0
Online ISBN: 978-3-030-56341-7
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