Uniqueness for Inverse Boundary Value Problems by Dirichlet-to-Neumann Map on Subboundaries

作者：Imanuvilov Oleg Y^*; Yamamoto Masahiro

来源：Milan Journal of Mathematics, 2013, 81(2): 187-258.

DOI：10.1007/s00032-013-0205-3

• inverse boundary value problem
• Dirichlet-to-Neumann map on subboundary
• elliptic operator
• uniqueness
• complex geometric optics solution

We consider inverse boundary value problems for elliptic equations of second order of determining coefficients by Dirichlet-to-Neumann map on subboundaries, that is, the mapping from Dirichlet data supported on subboundary to Neumann data on subboundary . First we prove uniqueness results in three dimensions under some conditions such as Next we survey uniqueness results in two dimensions for various elliptic systems for arbitrarily given Our proof is based on complex geometric optics solutions which are constructed by a Carleman estimate.

• 出版日期2013-12