Abstract
We show the well-posedness of the conductivity image reconstruction problem with a single set of interior electrical current data and boundary conductivity data. Isotropic conductivity is considered in two space dimensions. Uniqueness for similar conductivity reconstruction problems has been known for several cases. However, the existence and the stability are obtained in this paper for the first time. The main tool of the proof is the method of characteristics of a related curl equation.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 419-433 |
| Number of pages | 15 |
| Journal | Quarterly of Applied Mathematics |
| Volume | 73 |
| Issue number | 3 |
| DOIs | |
| State | Published - Jun 23 2015 |