The problem of determining a portion Gamma of the boundary of a bounded planar domain Omega from Cauchy data arises in several contexts, for example, such as in corrosion detection from electrostatic measurements. We investigate this severely ill-posed problem establishing logarithmic continuous dependence of Gamma from Cauchy data.
Stable determination of boundaries from Cauchy data / Beretta, Elena; S., Vessella. - In: SIAM JOURNAL ON MATHEMATICAL ANALYSIS. - ISSN 0036-1410. - STAMPA. - 30:1(1998), pp. 220-232. [10.1137/s0036141097325733]
Stable determination of boundaries from Cauchy data
BERETTA, Elena;
1998
Abstract
The problem of determining a portion Gamma of the boundary of a bounded planar domain Omega from Cauchy data arises in several contexts, for example, such as in corrosion detection from electrostatic measurements. We investigate this severely ill-posed problem establishing logarithmic continuous dependence of Gamma from Cauchy data.File allegati a questo prodotto
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
