Determining a magnetic Schroedinger operator from partial Cauchy data

Carlos Kenig; David Dos Santos Ferreira; Gunther Uhlmann; Johannes Sjoestrand

arxiv: math/0601466 · v1 · submitted 2006-01-19 · 🧮 math.AP

Determining a magnetic Schroedinger operator from partial Cauchy data

David Dos Santos Ferreira , Carlos Kenig , Johannes Sjoestrand , Gunther Uhlmann This is my paper

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keywords magneticcauchydatapotentialschroedingerboundarydeterminesdetermining

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In this paper we show, in dimension n >=3, that knowledge of the Cauchy data for the Schroedinger equation in the presence of a magnetic potential, measured on possibly very small subsets of the boundary, determines uniquely the magnetic field and the electric potential.

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Determining a magnetic Schroedinger operator from partial Cauchy data

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