We consider the stability issue for the inverse problem of determining an unknown portion S of the boundary of a two dimensional simply connected domain from overdetermined boundary data for the Laplace equation. In this paper we study the case in which S is a polygonal line. We prove a Lipschitz stability estimate under further a priori geometric assumptions on S.
Lipschitz stability for a stationary 2D inverse problem with unknown polygonal boundary
BACCHELLI, VALERIA;
2006-01-01
Abstract
We consider the stability issue for the inverse problem of determining an unknown portion S of the boundary of a two dimensional simply connected domain from overdetermined boundary data for the Laplace equation. In this paper we study the case in which S is a polygonal line. We prove a Lipschitz stability estimate under further a priori geometric assumptions on S.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
defintivo_Poligonal_InverseProblem.pdf
Accesso riservato
:
Post-Print (DRAFT o Author’s Accepted Manuscript-AAM)
Dimensione
387.44 kB
Formato
Adobe PDF
|
387.44 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
