Boutet de Monvel operators on singular manifolds

Karsten Bohlen

doi:10.1016/j.crma.2015.11.005

Mathematical analysis/Partial differential equations

Boutet de Monvel operators on singular manifolds

Presented by: the Editorial Board

Karsten Bohlen ¹

¹ Leibniz University, Hannover, Germany

Comptes Rendus. Mathématique, Volume 354 (2016) no. 3, pp. 239-243.

Abstract
Résumé

We construct a Boutet de Monvel calculus for general pseudodifferential boundary value problems defined on a broad class of non-compact manifolds, the class of so-called Lie manifolds with boundary. It is known that this class of non-compact manifolds can be used to model many classes of singular manifolds.

Nous construisons un calcul du type Boutet de Monvel pour des problèmes aux limites pseudo-différentiels definis sur une large classe de variétés non compactes, celle qu'on dénomme « variétés de Lie à bord ». Il est bien connu que cette classe de veriétés non compactes peut être utilisée pour modéliser de nombreuses classes de variétés singulières.

Received: 2015-05-22
Accepted: 2015-11-19
Published online: 2016-01-29

DOI: 10.1016/j.crma.2015.11.005

Keywords: Boutet de Monvel's calculus, Groupoids, Lie manifolds

Author's affiliations:

Karsten Bohlen ¹

¹ Leibniz University, Hannover, Germany

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     title = {Boutet de {Monvel} operators on singular manifolds},
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Karsten Bohlen. Boutet de Monvel operators on singular manifolds. Comptes Rendus. Mathématique, Volume 354 (2016) no. 3, pp. 239-243. doi : 10.1016/j.crma.2015.11.005. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2015.11.005/

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