✦ LIBER ✦
Global uniqueness and reconstruction for the multi-channel Gelʼfand–Calderón inverse problem in two dimensions
✍ Scribed by Roman G. Novikov; Matteo Santacesaria
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- French
- Weight
- 146 KB
- Volume
- 135
- Category
- Article
- ISSN
- 0007-4497
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✦ Synopsis
We study the multi-channel Gel'fand-Calderón inverse problem in two dimensions, i.e. the inverse boundary value problem for the equationψ + v(x)ψ = 0, x ∈ D, where v is a smooth matrix-valued potential defined on a bounded planar domain D. We give an exact global reconstruction method for finding v from the associated Dirichlet-to-Neumann operator. This also yields a global uniqueness results: if two smooth matrix-valued potentials defined on a bounded planar domain have the same Dirichlet-to-Neumann operator then they coincide.