English

A parabolic inverse problem with mixed boundary data. Stability estimates for the unknown boundary and impedance

Analysis of PDEs 2011-07-27 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1107.5151,
  title  = {A parabolic inverse problem with mixed boundary data. Stability estimates for the unknown boundary and impedance},
  author = {V. Bacchelli and M. Di Cristo and E. Sincich and S. Vessella},
  journal= {arXiv preprint arXiv:1107.5151},
  year   = {2011}
}

Comments

26 pages