A bilinear strategy for Calderón's problem
| Autor: | Felipe Ponce-Vanegas |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Current (mathematics)
General Mathematics 010102 general mathematics Mathematical analysis Bilinear interpolation Boundary (topology) Extension (predicate logic) Conductivity Inverse problem 01 natural sciences Electrical impedance imaging Mathematics - Analysis of PDEs Mathematics - Classical Analysis and ODEs Calderón's Problem Tao's Bilinear Theorem Complex Geometrical Optics Solutions Uniqueness 0101 mathematics 35J25 (Primary) 42B37 (Secondary) Mathematics |
| Zdroj: | Revista Matemática Iberoamericana BIRD: BCAM's Institutional Repository Data instname |
| ISSN: | 0213-2230 |
| DOI: | 10.4171/rmi/1257 |
| Popis: | Electrical Impedance Imaging would suffer a serious obstruction if for two different conductivities the potential and current measured at the boundary were the same. The Calder\'on's problem is to decide whether the conductivity is indeed uniquely determined by the data at the boundary. In $\mathbb{R}^d$, for $d=5,6$, we show that uniqueness holds when the conductivity is in $W^{1+\frac{d-5}{2p}+, p}(\Omega)$, for $d\le p Comment: 42 pages, 3 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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