Stable determination of a rigid inclusion in an anisotropic elastic plate

2011/11/02 by Antonino Morassi, Morassi, Antonino, Edi Rosset +3
Mathematics · #35B60 (Primary) 35B30 #35Q74 #35R30 (Secondary) #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35B30 #msc:35B60 #msc:35Q74 #msc:35R30

paper · pdf · doi:10.48550/arxiv.1111.0604

arxiv created 2011/11/02 · arxiv updated 2011/11/03

Abstract

In this paper we consider the inverse problem of determining a rigid inclusion inside a thin plate by applying a couple field at the boundary and by measuring the induced transversal displacement and its normal derivative at the boundary of the plate. The plate is made by non-homogeneous linearly elastic material belonging to a general class of anisotropy. For this severely ill-posed problem, under suitable a priori regularity assumptions on the boundary of the inclusion, we prove a stability estimate of log-log type.

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