Global stability for an inverse problem in soil-structure interaction

17 Feb 2015  ·  Alessandrini Giovanni, Morassi Antonino, Rosset Edi, Vessella Sergio ·

We consider the inverse problem of determining the Winkler subgrade reaction coefficient of a slab foundation modelled as a thin elastic plate clamped at the boundary. The plate is loaded by a concentrated force and its transversal deflection is measured at the interior points. We prove a global H\"{o}lder stability estimate under (mild) regularity assumptions on the unknown coefficient.

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Analysis of PDEs