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 [4]. Starting from this we derive Lipschitz continuous dependence estimates for the corresponding inverse problem.
Lipschitz stable determination of small conductivity inclusions in a semilinear equation from boundary data
Cerutti M. C.;Beretta E.;Ratti L.
2021-01-01
Abstract
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 [4]. Starting from this we derive Lipschitz continuous dependence estimates for the corresponding inverse problem.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
11311-1147731_Cerutti.pdf
accesso aperto
:
Publisher’s version
Dimensione
321.91 kB
Formato
Adobe PDF
|
321.91 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
