3/2010 - Linearization of a free boundary problem in corrosion detection
Elio Cabib, Dario Fasino, Eva Sincich
Titolo | Linearization of a free boundary problem in corrosion detection |
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Numero | 3/2010 |
Sottomesso da | Dario Fasino |
Sottomesso il | 9/4/2010 |
Stato | Preprint |
Autori | Elio 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 $Gamma_IsubsetpartialOmega$ 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 $Gamma_AsubsetpartialOmega$. 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-fasino.pdf |