@article{liu_2024, title={Stability estimates for an inverse boundary value problem for biharmonic operators with first order perturbation from partial data}, volume={40}, ISSN={["1361-6420"]}, DOI={10.1088/1361-6420/ad3be6}, abstractNote={Abstract In this paper we study an inverse boundary value problem for the biharmonic operator with first order perturbation. Our geometric setting is that of a bounded simply connected domain in the Euclidean space of dimension three or higher. Assuming that the inaccessible portion of the boundary is flat, and we have knowledge of the Dirichlet-to-Neumann map on the complement, we prove logarithmic type stability estimates for both the first and the zeroth order perturbation of the biharmonic operator.}, number={6}, journal={INVERSE PROBLEMS}, author={Liu, Boya}, year={2024}, month={Jun} } @article{ilmavirta_liu_saksala_2023, title={THREE TRAVEL TIME INVERSE PROBLEMS ON SIMPLE RIEMANNIAN MANIFOLDS}, ISSN={["1088-6826"]}, DOI={10.1090/proc/16453}, abstractNote={We provide new proofs based on the Myers–Steenrod theorem to confirm that travel time data, travel time difference data and the broken scattering relations determine a simple Riemannian metric on a disc up to the natural gauge of a boundary fixing diffeomorphism. Our method of the proof leads to a Lipschitz-type stability estimate for the first two data sets in the class of simple metrics.}, journal={PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY}, author={Ilmavirta, Joonas and Liu, Boya and Saksala, Teemu}, year={2023}, month={Jun} }