Author

Gunther Uhlmann

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Preprint Oct 2026

Fractional Calder\'on problem with $L^{\infty}$-conductivities

We study the inverse problem for the fractional conductivity equation with uniformly elliptic conductivities $\gamma\in L^\infty(\mathbb R^n)$. For every $n\geq1$ and $0<s<1$, we prove that the local exterior Dirichlet-to-Neumann map on any nonempty open subset of the exterior of a bounded open domain determines $\gamm...

Gunther Uhlmann, Philipp Zimmermann · 0 citations

Preprint Oct 2026

The anisotropic Calder\'on problem for Riemannian metrics at high fixed frequency

We study an inverse boundary value problem for the Helmholtz equation on a smooth compact non-trapping Riemannian manifold with strictly convex boundary. We prove that, given two such metrics, for sufficiently large but fixed frequency $\lambda$, equality of their Dirichlet-to-Neumann maps implies equality of their len...

Mihajlo Cekić, Katya Krupchyk, S. K. Sahoo et al. · 0 citations