**Ru-Yu Lai**

** Address: **

School of Mathematics

University of Minnesota-Twin
Cities

206
Church St. SE

Minneapolis, MN 55455

**Office:** 229
Vincent Hall

**Email:**
rylai [at] umn.edu

**About me **

** Publications**

- Nonparaxial near-nondiffracting accelerating optical beams. (with T. Zhou),
*Communications in Mathematical Physics.*(DOI) 10.1007/s00220-017-2838-5 (2017). - An inverse problem from condense matter physics. (with R. Shankar, D. Spirn and G. Uhlmann),
Accepted by
*Inverse problems.*Preprint available at arXiv:1606.07352 (2017). - Applications of CGO solutions on coupled-physics inverse problems.
(with I. Kocyigit, L. Qiu, Y. Yang and T. Zhou),
Accepted by
*Inverse problems and imaging.*Preprint available at arXiv:1512.06695 (2016). - 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.*, (DOI) 10.1007/s00205-014-0794-1 (2014). -
Uniqueness and stability of Lamé parameters in
elastography.
*Journal of Spectral Theory*, no. 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 (2014). - Global uniqueness for an inverse problem for
the magnetic Schrödinger operator.
*Inverse Problems and Imaging*, 5, 59-74 (2011).

** Teaching **

Last update: 9/19/2017