Formulations variationnelles pour les inverses des opérateurs intégraux logarithmiques définis sur un intervalle

Carlos Jerez-Hanckes; Jean Claude Nédélec

doi:10.1016/j.crma.2011.01.016

Formulations variationnelles pour les inverses des opérateurs intégraux logarithmiques définis sur un intervalle

Carlos Jerez-Hanckes, Jean Claude Nédélec

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

4 Citas (Scopus)

Resumen

We present explicit and exact variational formulations for the weakly singular and hypersingular operators over an interval as well as for their corresponding inverses. By decomposing the solutions in symmetric and antisymmetric parts, we precisely characterize the associated Sobolev spaces. Moreover, we are able to define novel Calderón-type identities in each case.

Título traducido de la contribución	Variational forms for the inverses of integral logarithmic operators over an interval
Idioma original	Francés
Páginas (desde-hasta)	547-552
Número de páginas	6
Publicación	Comptes Rendus Mathematique
Volumen	349
N.º	9-10
DOI	https://doi.org/10.1016/j.crma.2011.01.016
Estado	Publicada - may. 2011
Publicado de forma externa	Sí

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10.1016/j.crma.2011.01.016

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title = "Formulations variationnelles pour les inverses des op{\'e}rateurs int{\'e}graux logarithmiques d{\'e}finis sur un intervalle",

abstract = "We present explicit and exact variational formulations for the weakly singular and hypersingular operators over an interval as well as for their corresponding inverses. By decomposing the solutions in symmetric and antisymmetric parts, we precisely characterize the associated Sobolev spaces. Moreover, we are able to define novel Calder{\'o}n-type identities in each case.",

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AU - Nédélec, Jean Claude

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AB - We present explicit and exact variational formulations for the weakly singular and hypersingular operators over an interval as well as for their corresponding inverses. By decomposing the solutions in symmetric and antisymmetric parts, we precisely characterize the associated Sobolev spaces. Moreover, we are able to define novel Calderón-type identities in each case.

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Formulations variationnelles pour les inverses des opérateurs intégraux logarithmiques définis sur un intervalle

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