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Determination of second-order elliptic operators in two dimensions from partial Cauchy data

We consider the inverse boundary value problem in two dimensions of determining the coefficients of a general second-order elliptic operator from the Cauchy data measured on a nonempty arbitrary relatively open subset of the boundary. We give a complete characterization of the set of coefficients yi...

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Hlavní autoři: Imanuvilov, Oleg Y., Uhlmann, Gunther, Yamamoto, Masahiro
Médium: Artigo
Jazyk:Inglês
Vydáno: National Academy of Sciences 2011
Témata:
On-line přístup:https://ncbi.nlm.nih.gov/pmc/articles/PMC3021074/
https://ncbi.nlm.nih.gov/pubmed/21187423
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1073/pnas.1011681107
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