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arXiv · 2503.19610

An inverse Signorini obstacle problem

Maarten V. de Hoop·Matti Lassas·Jinpeng Lu·Lauri Oksanen·Ziyao Zhao
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Abstract

We study the inverse problem of determining a Signorini obstacle from boundary measurements for the isotropic elasticity system. We prove that the obstacle can be uniquely determined by a single measurement of displacement and normal stress for the Signorini problem on an open subset of the boundary up to a natural obstruction. In addition to considering the Signorini problem, we develop techniques that can be used to study inverse problems for general differential inequalities.

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Maarten V. de Hoop, Matti Lassas, Jinpeng Lu, Lauri Oksanen, Ziyao Zhao. 2025-03-25. An inverse Signorini obstacle problem. https://arxiv.org/abs/2503.19610

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