Abstract
If Lγ = divγ∇ is an elliptic operator with scalar coefficient γ, we show that we can recover the coefficient γ from the Dirichlet-to-Neumann map under the assumption that γ has only 3/2 + ε derivatives. Previously, the best result required γ to have two derivatives.
Original language | English |
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Pages (from-to) | 1049-1056 |
Number of pages | 8 |
Journal | SIAM Journal on Mathematical Analysis |
Volume | 27 |
Issue number | 4 |
DOIs | |
State | Published - Jul 1996 |
Keywords
- Besov space
- Dirichlet-to-Neumann map
- Impedance imaging
- Inverse problem
ASJC Scopus subject areas
- Analysis
- Computational Mathematics
- Applied Mathematics