A uniqueness theorem for a boundary inverse problem
- 1 February 1988
- journal article
- Published by IOP Publishing in Inverse Problems
- Vol. 4 (1) , L1-L5
- https://doi.org/10.1088/0266-5611/4/1/001
Abstract
Let D contained in/implied by R3 be a bounded domain with a smooth boundary Gamma , - Delta u+q(x)u=0 in D u=f, uN=h on Gamma and q(x) in Linfinity (D). From knowledge of the set (f, h) where f runs through C1( Gamma ) the coefficient q(x) is uniquely recovered. Analytical formulae for q(x) are given. Applications are considered.Keywords
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