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Reconstructions From Boundary Measurements

Nachman, Adrian I.·1988·The Annals of Mathematics

Abstract

Soit Ω un domaine borne dans R n , n≥3 avec une frontiere C 1,1 . On considere l'operateur Lγ(u)=⊇•(γ⊇u) ou γ(x) est une fonction a valeur reelle dans C 1,1 (Ω) avec une borne superieure positive. On definit la forme quadratique Qγ sur H 1/2 (∂Ω) par Qγ(f)=∫ Ω γ(x)|⊇u(x)| 2 dx ou u∈H 1 (Ω) est la solution unique a Lγu=0 dans Ω, u| ∂Ω =f. On etudie la reconstruction de γ a partir de Qγ

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Metadata

Authors
Nachman, A. I.
Venue
The Annals of Mathematics
Publisher
JSTOR
Published
1988-11
Volume
128
Issue
3
Pages
531
ISSN
0003-486X (ISSN-L)
OpenAlex
W2016190564
Cited by
674
References
0
FWCI
12.15
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Reconstructions From Boundary Measurements. https://app.cochat.ai/papers/10.2307/1971435
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Nachman, A. I. (1988). Reconstructions From Boundary Measurements. The Annals of Mathematics. https://doi.org/10.2307/1971435

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