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math.AP2021
A remark on inverse problems for nonlinear magnetic Schrödinger equations on complex manifolds
Katya Krupchyk, Gunther Uhlmann, Lili Yan
We show that the knowledge of the Dirichlet--to--Neumann map for a nonlinear magnetic Schrödinger operator on the boundary of a compact complex manifold, equipped with a Kähler met…
math.AP2021★ 1 cited
Reconstructing a potential perturbation of the biharmonic operator on transversally anisotropic manifolds
Lili Yan
We prove that a continuous potential can be constructively determined from the knowledge of the Dirichlet-to-Neumann map for the perturbed biharmonic operator on a co…