Optimal stability estimate of the inverse boundary value problem by partial measurements

Details Optimal stability estimate of the inverse boundary value problem by partial measurements Optimal stability estimate of the inverse boundary value problem by partial measurements

2007-08-24

arxiv.org/abs/0708.3289v1

Mathematics

Analysis of PDEs

Scientific paper

In this work we establish log-type stability estimates for the inverse
potential and conductivity problems with partial Dirichlet-to-Neumann map,
where the Dirichlet data is homogeneous on the inaccessible part. This result,
to some extent, improves our former result on the partial data problem in which
log-log-type estimates were derived.

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