Lili Yan
Published 2020-12-24Version 1
We study inverse boundary problems for first order perturbations of the biharmonic operator on a conformally transversally anisotropic Riemannian manifold of dimension $n \ge 3$. We show that a continuous first order perturbation can be determined uniquely from the knowledge of the set of the Cauchy data on the boundary of the manifold provided that the geodesic $X$-ray transform on the transversal manifold is injective.
Comments: arXiv admin note: substantial text overlap with arXiv:1702.07974 by other authors
Stable determination of the first order perturbation of the biharmonic operator from partial data
Determining a first order perturbation of the biharmonic operator by partial boundary measurements
Inverse problems for advection diffusion equations in admissible geometries
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