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Tu sei qui: Portale preprintdimi.2010-04-09
Title

Linearization of a free boundary problem in corrosion detection

Number3/2010
Deposited by:Dario Fasino
Deposited on:09/04/2010
StatusPreprint
AuthorsElio Cabib
Dario Fasino
Eva Sincich
Abstract We consider a boundary identification problem arising in nondestructive testing of materials. The problem is to recover a part $\Gamma_I\subset\partial\Omega$ of the boundary of a bounded, planar domain $\Omega$ from one Cauchy data pair of a harmonic potential $u$ in $\Omega$ collected on a different boundary subset $\Gamma_A\subset\partial\Omega$. We prove Fr\'echet differentiability of a suitably defined forward map, and discuss local uniqueness and Lipschitz stability results for the linearized problem.
File 3-2010-CSF_DIMI.pdf

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