We consider an inverse problem regarding the detection of small conductivity inhomogeneities in a boundary value problem for a semilinear elliptic equation. For such a problem, that is related to cardiac electrophysiology, an asymptotic expansion for the boundary potential due to the presence of small conductivity inhomogeneities was established in . Starting from this we derive Lipschitz continuous dependence estimates for the corresponding inverse problem.
|Original language||English (US)|
|Journal||Mathematics in Engineering|
|State||Published - 2021|