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

Translated title of the contribution: Variational forms for the inverses of integral logarithmic operators over an interval

Carlos Jerez-Hanckes, Jean Claude Nédélec

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

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 Calderón-type identities in each case.

Translated title of the contributionVariational forms for the inverses of integral logarithmic operators over an interval
Original languageFrench
Pages (from-to)547-552
Number of pages6
JournalComptes Rendus Mathematique
Volume349
Issue number9-10
DOIs
StatePublished - May 2011
Externally publishedYes

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