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A global stability estimate for the Gel'fand–Calderón inverse problem in two dimensions

✍ Scribed by Novikov, Roman (author);Santacesaria, Matteo (author)

Book ID
111944281
Publisher
Walter de Gruyter GmbH & Co. KG
Year
2010
Tongue
English
Weight
431 KB
Volume
18
Category
Article
ISSN
0928-0219

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Global uniqueness and reconstruction for
Global uniqueness and reconstruction for the multi-channel Gelʼfand–Calderón inverse problem in two dimensions
✍ Roman G. Novikov; Matteo Santacesaria 📂 Article 📅 2011 🏛 Elsevier Science 🌐 French ⚖ 146 KB

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