Author

Lu Chen

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Preprint Sep 2026

Determining Schrodinger Potentials on Riemannian Manifolds

We consider the inverse problem of determining a potential for the stationary Schr\"odinger equation on certain Riemannian manifolds with boundary from the Dirichlet-to-Neumann map. We derive two unique identifiability results. The first assumes that the Riemannian metric is close to the Euclidean metric, with the clos...

Lu Chen, Yan Jiang, Hong-Yu Liu et al. · 0 citations

Preprint Oct 2026

Determining $W^{1,n}$ conductivities in Calder\'on's problem for $n\geq4$

We establish a global uniqueness result at the critical Sobolev regularity for the isotropic Calder\'on problem in all dimensions $n\ge 4$. More precisely, for every $n\ge4$ and every bounded Lipschitz domain $\Omega\subset\mathbb{R}^n$, any real-valued, uniformly elliptic scalar conductivity $\gamma\in W^{1,n}(\Omega)...

Lu Chen, Yan Jiang, Hong-Yu Liu et al. · 1 citation