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 / E. BERETTA; S. VESSELLA. - In: SIAM JOURNAL ON MATHEMATICAL ANALYSIS. - ISSN 0036-1410. - STAMPA. - 30:(1998), pp. 220-232. [10.1137/S0036141097325733]
Stable determination of boundaries from Cauchy data
VESSELLA, SERGIO
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.
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