Special Session 19: New trends in inverse problems for partial differential equations
Stable determination of the Winkler subgrade coefficient in a nanoplate
Eva Sincich
University of Trieste Italy
Co-Author(s): G. Alessandrini, A. Morassi, E. Rosset, S. Vessella
Abstract:
We study the inverse problem of determining the Winkler coefficient in a nanoplate resting on an elastic foundation and clamped at the boundary. The nanoplate is described within a simplified strain gradient elasticity theory for isotropic materials, under the Kirchhoff-Love kinematic assumptions in infinitesimal deformation. We prove a global H\{o}lder stability estimate of the subgrade coefficient by performing a single interior measurement of the transverse deflection of the nanoplate induced by a load concentrated at one point.