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math.AP2026
An inverse free boundary problem
Cătălin I. Cârstea, Matti Lassas, Jinpeng Lu +2
We study inverse problems for the elliptic and parabolic obstacle problems from boundary measurements. For the classical elliptic obstacle problem with strictly superharmonic obsta…
math.AP2026
An inverse problem for inhomogeneous Signorini obstacle
Ziyao Zhao
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 obst…
math.AP2026
Inverse problem for the geometric Navier-Stokes equations
Yavar Kian, Lauri Oksanen, Ziyao Zhao
We consider the inverse problem of determining a compact Riemannian manifold with boundary from fixed time observations of the solution, restricted to a small subset in space, for…