An inverse problem for inhomogeneous Signorini obstacle

Ziyao Zhao

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arXiv · 2605.15091

An inverse problem for inhomogeneous Signorini obstacle

Ziyao Zhao

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Abstract

This paper investigates the inverse problem of determining a general Signorini obstacle using boundary measurements. We demonstrate that both the shape of the obstacle and the obstacle function can be uniquely determined from solution measurements taken on an arbitrary open subset of the boundary. This result applies to both the scalar and elasticity versions of the Signorini problem.

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Ziyao Zhao. 2026-05-14. An inverse problem for inhomogeneous Signorini obstacle. https://arxiv.org/abs/2605.15091

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