Basic applied functional analysis

Franck Assous, Patrick Ciarlet, Simon Labrunie

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


To measure data and solutions spatially, we recall a number of useful definitions and results on Lebesgue and standard Sobolev spaces. Then, we introduce more specialized Sobolev spaces, which are better suited to measuring solutions to electromagnetics problems, in particular, the divergence and the curl of fields. This also allows one to measure their trace at interfaces between two media, or on the boundary. Last, we construct ad hoc function spaces, adapted to the study of time- and space-dependent electromagnetic fields.

Original languageEnglish
Title of host publicationApplied Mathematical Sciences (Switzerland)
Number of pages33
StatePublished - 2018
Externally publishedYes

Publication series

NameApplied Mathematical Sciences (Switzerland)
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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