School of Mathematics
University of Minnesota-Twin
Church St. SE
Minneapolis, MN 55455
Email: rylai [at] umn.edu
About me I am an assistant professor in the School of
Mathematics at the University of Minnesota. I obtained my PhD
from the Department of Mathematics at the University of
Washington under the supervision of professor Gunther Uhlmann.
My research interests are mainly on inverse problems and
partial differential equations. My detailed CV can be found
Partial data inverse problems for nonlinear magnetic Schrödinger equations.
(with T. Zhou),
Preprint available at arXiv:2007.02475 (2020).
Reconstruction of the emission coefficient in the nonlinear radiative transfer equation.
(with C. Klingenberg and Q. Li),
Preprint available at arXiv:2006.14674 (2020).
Inverse problems for fractional semilinear elliptic equations.
(with Y.-H. Lin),
Preprint available at arXiv:2004.00549 (2020).
Reconstruction of the collision kernel in the nonlinear Boltzmann equation.
(with G. Uhlmann and Y. Yang),
Preprint available at arXiv:2003.09549 (2020).
On diffusive scaling in acousto-optic imaging.
(with F. Chung and Q. Li),
accepted by Inverse Problems. Preprint available at arXiv:2001.07858 (2020).
The Calderón problem for a space-time fractional parabolic equation.
(with Y.-H. Lin and A. Rüland), accepted by SIAM J. Math. Anal..
Preprint available at arXiv:1905.08719 (2019).
Parameter reconstruction for general transport equation.
(with Q. Li), accepted by SIAM J. Math. Anal..
Preprint available at arXiv:1904.10049 (2019).
Boundary determination of electromagnetic and Lamé parameters with corrupted data.
(with P. Caro, Y.-H. Lin and T. Zhou),
Preprint available at arXiv:1903.03524 (2019).
Inverse problems for the stationary transport equation in the diffusion scaling. (with Q. Li and G. Uhlmann),
SIAM Applied Mathematics , 79(6), 2340–2358 (2019).
Global uniqueness for the fractional semilinear Schrödinger equation. (with Y.-H. Lin),
Proceedings of the AMS, 147, 1189-1199 (2019).
Quench detection on a superconducting radio-frequency cavity. (with D. Spirn),
SIAM Applied Mathematics, 79(1), 341-355 (2019).
Nonparaxial near-nondiffracting accelerating optical beams. (with T. Zhou),
Communications in Mathematical Physics, 353(2), 771-790 (2017).
An inverse problem from condense matter physics. (with R. Shankar, D. Spirn and G. Uhlmann),
Inverse problems, 33(11), 115011 (2017).
Applications of CGO solutions on coupled-physics inverse problems.
(with I. Kocyigit, L. Qiu, Y. Yang and T. Zhou),
Inverse problems and imaging, 11(2), 277-304 (2017).
Increasing stability for the conductivity and
attenuation coefficients. (with V. Isakov and J.-N.
Wang), SIAM J. Math. Anal., 48(1), 569-594 (2016).
Inverse boundary value problem for the Stokes
and the Navier-Stokes equations in the plane. (with
G. Uhlmann and J.-N. Wang) , Arch. Rational Mech. Anal.,
215(3), 811-829 (2015).
Uniqueness and stability of Lamé parameters in
elastography. Journal of Spectral Theory,
4, 841-877 (2014).
Stability estimates for the inverse boundary
value problem by partial Cauchy data. Math. Meth. Appl. Sci.,
38(8), 1568-1581 (2015).
Increasing stability for the diffusion
equation. Inverse Problems, 30, 075010
Global uniqueness for an inverse problem for
the magnetic Schrödinger operator. Inverse
Problems and Imaging, 5, 59-74 (2011).
Last update: 3/23/2020