TY - CHAP
T1 - Complements of applied functional analysis
AU - Assous, Franck
AU - Ciarlet, Patrick
AU - Labrunie, Simon
N1 - Publisher Copyright:
© Springer International Publishing AG, part of Springer Nature 2018.
PY - 2018
Y1 - 2018
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85068011501&partnerID=8YFLogxK
U2 - 10.1007/978-3-319-70842-3_3
DO - 10.1007/978-3-319-70842-3_3
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AN - SCOPUS:85068011501
T3 - Applied Mathematical Sciences (Switzerland)
SP - 107
EP - 145
BT - Applied Mathematical Sciences (Switzerland)
ER -