Complements of applied functional analysis

Franck Assous, Patrick Ciarlet, Simon Labrunie

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-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 languageEnglish
Title of host publicationApplied Mathematical Sciences (Switzerland)
PublisherSpringer
Pages107-145
Number of pages39
DOIs
StatePublished - 2018
Externally publishedYes

Publication series

NameApplied Mathematical Sciences (Switzerland)
Volume198
ISSN (Print)0066-5452
ISSN (Electronic)2196-968X

Bibliographical note

Publisher Copyright:
© Springer International Publishing AG, part of Springer Nature 2018.

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