Elements of functional analysis

Quarteroni, Alfio

doi:10.1007/978-88-470-5522-3_2

Alfio Quarteroni^9,10

Part of the book series: MS&A - Modeling, Simulation and Applications ((MS&A,volume 8))

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Abstract

In this chapter we recall a number of concepts used extensively in this textbook: functionals and bilinear forms, distributions, Sobolev spaces, L ^p spaces. For a more in-depth reading, the reader can refer to e.g. [Sal08],[Yos74], [Bre86], [LM68], [Ada75].

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Notes

1.
With Ω ⊂ ℝⁿ, a compact set is a closed and bounded set.

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Authors and Affiliations

CMCS-MATHICSE, Ecole Polytechnique Fédérale de Lausanne, Switzerland
Alfio Quarteroni
MOX, Department of Mathematics “F. Brioschi”, Politecnico di Milano, Italy
Alfio Quarteroni

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Alfio Quarteroni
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Quarteroni, A. (2014). Elements of functional analysis. In: Numerical Models for Differential Problems. MS&A - Modeling, Simulation and Applications, vol 8. Springer, Milano. https://doi.org/10.1007/978-88-470-5522-3_2

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DOI: https://doi.org/10.1007/978-88-470-5522-3_2
Publisher Name: Springer, Milano
Print ISBN: 978-88-470-5521-6
Online ISBN: 978-88-470-5522-3
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