Skip to Main content Skip to Navigation
Journal articles

Characterization of the kernel of the operator CURL CURL

Philippe G. Ciarlet 1 Patrick Ciarlet 2 Giuseppe Geymonat 3 Françoise Krasucki 3
2 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231
Abstract : In a simply-connected domain Ω in R3, the kernel of the operator CURLCURL acting on symmetric matrix fields from L2s (Ω) to H−2 s (Ω) coincides with the space of linearized strain tensor fields. For not simply-connected domains, Volterra has characterized this kernel for smooth fields. Here we extend this result for domains with a Lipschitz-continuous boundary for fields in L2s (Ω). To cite this article: P.G. Ciarlet et al., C. R. Acad. Sci. Paris, Ser. I 344 (2007). © 2007 Académie des sciences. Published by Elsevier Masson SAS. All rights reserved.
Document type :
Journal articles
Complete list of metadata

https://hal.archives-ouvertes.fr/hal-00583961
Contributor : Lmgc Aigle Connect in order to contact the contributor
Submitted on : Thursday, April 7, 2011 - 10:47:25 AM
Last modification on : Friday, December 3, 2021 - 11:34:05 AM

Identifiers

Citation

Philippe G. Ciarlet, Patrick Ciarlet, Giuseppe Geymonat, Françoise Krasucki. Characterization of the kernel of the operator CURL CURL. Comptes Rendus. Mathématique, Académie des sciences (Paris), 2007, 344 (série I), pp.305-308. ⟨10.1016/j.crma.2007.01.001⟩. ⟨hal-00583961⟩

Share

Metrics

Les métriques sont temporairement indisponibles