We discuss the ill-posed Cauchy problem for elliptic equations, which is pervasive in inverse boundary value problems modeled by elliptic equations. We provide essentially optimal stability results, in wide generality and under substantially minimal assumptions. As a general scheme in our arguments, we show that all such stability results can be derived by the use of a single building brick, the three-spheres inequality.
The stability for the Cauchy problem for elliptic equations / G. Alessandrini; L. Rondi; E. Rosset; S. Vessella. - In: INVERSE PROBLEMS. - ISSN 0266-5611. - STAMPA. - 25:(2009), pp. 1-47. [10.1088/0266-5611/25/12/123004]
The stability for the Cauchy problem for elliptic equations
VESSELLA, SERGIO
2009
Abstract
We discuss the ill-posed Cauchy problem for elliptic equations, which is pervasive in inverse boundary value problems modeled by elliptic equations. We provide essentially optimal stability results, in wide generality and under substantially minimal assumptions. As a general scheme in our arguments, we show that all such stability results can be derived by the use of a single building brick, the three-spheres inequality.File | Dimensione | Formato | |
---|---|---|---|
CAUCHYip9_12_123004.pdf
Accesso chiuso
Tipologia:
Versione finale referata (Postprint, Accepted manuscript)
Licenza:
Tutti i diritti riservati
Dimensione
564.63 kB
Formato
Adobe PDF
|
564.63 kB | Adobe PDF | Richiedi una copia |
I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.