期刊
INVERSE PROBLEMS AND IMAGING
卷 1, 期 1, 页码 95-105出版社
AMER INST MATHEMATICAL SCIENCES
DOI: 10.3934/ipi.2007.1.95
关键词
inverse problems; inverse scattering problems
We show that the Dirichlet-to-Neumann map given on an arbitrary part of the boundary of a three-dimensional domain with zero Dirichlet (or Neumann) data on the remaining (spherical or plane) part of the boundary uniquely determines conductivity or potential coefficients. This is the first uniqueness result for the Calderon problem with zero data on unaccessible part of the boundary. Proofs use some modification of the method of complex geometrical solutions due to Calderon-Sylvester-Uhlmann.
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