Stable Determination of the Discontinuous Conductivity Coefficient of a Parabolic Equation
Abstract
We deal with the problem of determining a time varying inclusion within a thermal conductor. In particular we study the continuous dependance of the inclusion from the Dirichlet-to-Neumann map. Under a priori regularity assumptions on the unknown defect we establish logarithmic stability estimates.
- Publication:
-
arXiv e-prints
- Pub Date:
- April 2009
- DOI:
- 10.48550/arXiv.0904.0296
- arXiv:
- arXiv:0904.0296
- Bibcode:
- 2009arXiv0904.0296D
- Keywords:
-
- Mathematics - Analysis of PDEs;
- 35R30;
- 35B60;
- 33C90
- E-Print:
- 36 pages