In this paper we introduce the randomised stability constant for abstract inverse problems, as a generalisation of the randomised observability constant, which was studied in the context of observability inequalities for the linear wave equation. We study the main properties of the randomised stability constant and discuss the implications for the practical inversion, which are not straightforward.
On the randomised stability constant for inverse problems
Alberti, Giovanni;
2020-01-01
Abstract
In this paper we introduce the randomised stability constant for abstract inverse problems, as a generalisation of the randomised observability constant, which was studied in the context of observability inequalities for the linear wave equation. We study the main properties of the randomised stability constant and discuss the implications for the practical inversion, which are not straightforward.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
mine-02-02-013.pdf
accesso aperto
Tipologia:
Documento in versione editoriale
Dimensione
392.54 kB
Formato
Adobe PDF
|
392.54 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
