6533b82ffe1ef96bd1295de7

RESEARCH PRODUCT

Stability of the Calderón problem in admissible geometries

Mikko SaloPedro Caro

subject

Pure mathematicsCalderón problemControl and Optimizationta111Stability (learning theory)InversestabilityInverse problemType (model theory)Dimension (vector space)Log-log plotModeling and SimulationInverse boundary value problemsDiscrete Mathematics and CombinatoricsPharmacology (medical)UniquenessBoundary value problemAnalysisMathematics

description

In this paper we prove log log type stability estimates for inverse boundary value problems on admissible Riemannian manifolds of dimension n ≥ 3. The stability estimates correspond to the uniqueness results in [13]. These inverse problems arise naturally when studying the anisotropic Calderon problem. peerReviewed

https://doi.org/10.3934/ipi.2014.8.939