A parabolic inverse problem with mixed boundary data. Stability   estimates for the unknown boundary and impedance
  We consider the problem of determining an unaccessible part of the boundary of a conductor by mean of thermal measurements. We study a problem of corrosion where a Robin type condition is prescribed on the damaged part and we prove logarithmic stability estimate. 
V. Bacchelli, M. Di Cristo, E. Sincich, S. Vessella
math.AP