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Reconstructions From Boundary Measurements
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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Cited by
Metamaterial Electromagnetic Cloak at Microwave Frequencies
Schurig, D., Mock, J. J., Justice, B. J., Cummer, S. A., Pendry, J. B., Starr, A. F., & Smith, D. R. (2006) · Science · doi:10.1126/science.1133628 · Cited by 7,586
Barceló, C., Liberati, S., & Visser, M. (2005) · Living Reviews in Relativity · doi:10.12942/lrr-2005-12 · Cited by 1,163
Barceló, C., Liberati, S., & Visser, M. (2011) · Living Reviews in Relativity · doi:10.12942/lrr-2011-3 · Cited by 598
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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- Nachman, A. I. (1988). Reconstructions From Boundary Measurements. The Annals of Mathematics. https://doi.org/10.2307/1971435
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