The action of pseudo-differential operators on functions harmonic outside a smooth hyper-surface

The goal of this note is to describe the action of pseudo-differential operators on the space of square integrable functions which are harmonic outside a smooth closed hyper-surface of a compact Riemannian manifold.

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Publication Details

Journal
Comptes Rendus Mathématique
Published
2024-11-04
DOI
https://doi.org/10.5802/crmath.626
Primary Topic
Advanced Mathematical Modeling in Engineering
Type
article
Field-Weighted Citation Impact
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article

The action of pseudo-differential operators on functions harmonic outside a smooth hyper-surface

L. Boutet de Monvel, Yves Colin de Verdìère
Comptes Rendus Mathématique
Advanced Mathematical Modeling in Engineering
article

The action of pseudo-differential operators on functions harmonic outside a smooth hyper-surface

L. Boutet de Monvel, Yves Colin de Verdìère
article en

Abstract

The goal of this note is to describe the action of pseudo-differential operators on the space of square integrable functions which are harmonic outside a smooth closed hyper-surface of a compact Riemannian manifold.

Comptes Rendus MathématiqueVol. 362(G9)
Openalex Percentile: Top 77%
Advanced Mathematical Modeling in Engineering
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The action of pseudo-differential operators on functions harmonic outside a smooth hyper-surface — L. Boutet de Monvel, Yves Colin de Verdìère · Comptes Rendus Mathématique (2024) | TGRS Research Map | TGRS