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Yi-Hsuan Lin

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Preprint Sep 2026

The anisotropic Calder\'on problem: rigidity near the Euclidean metric

We prove rigidity near the Euclidean metric for the anisotropic Calder\'on problem on smooth bounded connected domains in dimensions three and higher. Any smooth Riemannian metric sufficiently close to the Euclidean metric in a suitable H\"older norm and having the same Dirichlet-to-Neumann map agrees with it up to a d...

Yi-Hsuan Lin · 2 citations

Preprint Aug 2026

The Calder\'on problem for the infinity Laplacian with large affine boundary data

We study the Calder\'on problem for the equation $-\Delta_\infty u+q(x)u=0$ in a bounded convex domain with $C^2$ boundary. We prove that a positive potential $q$ is uniquely determined and explicitly reconstructible from the measurements $\Lambda_q\bigl(t(e\cdot x+b)|_{\partial\Omega}\bigr)$, where $e\in\mathbb S^{n-1...

Yi-Hsuan Lin · 1 citation