Research

My research interest is inverse problems, semiclassical analysis, and partial differential equations.

Inverse boundary problems for biharmonic operators in transversally anisotropic geometries, SIAM J. Math. Anal. 53 (2021), no. 6, 6617-6653. pdf
Reconstructing a potential perturbation of the biharmonic operator on transversally anisotropic manifolds, Inverse Probl. Imaging. 17(2023), no.1, 136-156. pdf
A remark on inverse problems for nonlinear magnetic Schrödinger equations on complex manifolds, (with Katya Krupchyk and Gunther Uhlmann), Proc. Amer. Math. Soc. 152(2024), 2413-2422. pdf
Partial Data Inverse Problems for Magnetic Schrödinger Operators on Conformally Transversally Anisotropic Manifolds, (with Salem Selim), Asymptotic Analysis, to appear. pdf
Partial Data Inverse Problem for Hyperbolic Equation with Time-dependent Damping Coefficient and Potential, preprint, (with Boya Liu and Teemu Saksala), preprint. pdf
Stable determination of time-dependent collision kernel in the nonlinear Boltzmann equation, (with Ru-Yu Lai), preprint. pdf
Recovery of a time-dependent potential in hyperbolic equations on conformally transversally anisotropic manifolds, preprint, (with Boya Liu and Teemu Saksala), preprint. pdf