Complements of applied functional analysis

Franck Assous; Patrick Ciarlet; Simon Labrunie

doi:10.1007/978-3-319-70842-3_3

Complements of applied functional analysis

Franck Assous
, Patrick Ciarlet
, Simon Labrunie

Ariel University
ParisTech
Nancy Université

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

We complement the classic results of Chap. 2 in two directions. In the first part, we review some recent results on the traces of vector fields, and especially the tangential trace of electromagnetic-like fields. In the second part, we focus on the extraction of potentials for curl-free and/or divergence-free fields and consequences. In this chapter, Ω is an open subset of ℝ³ with boundary Γ.

Original language	English
Title of host publication	Applied Mathematical Sciences (Switzerland)
Publisher	Springer
Pages	107-145
Number of pages	39
DOIs	https://doi.org/10.1007/978-3-319-70842-3_3
Publication status	Published - 1 Jan 2018
Externally published	Yes

Publication series

Name	Applied Mathematical Sciences (Switzerland)
Volume	198
ISSN (Print)	0066-5452
ISSN (Electronic)	2196-968X

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10.1007/978-3-319-70842-3_3

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Complements of applied functional analysis

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