Yi-Hsuan Lin (林奕亘)

1001, Ta Hsueh Road, Hsinchu 30050, Taiwan

My research interests mainly focus on Inverse Problems for Partial Differential Equations, Nonlocal Equations and Homogenization.
I am a NSTC Young Scholar Fellow, including both Columbus Program (哥倫布計畫2020-2022) and International Outstanding Young Scholars (國際年輕傑出學者2022-2025). These programs are supported by the National Science and Technology Council (NSTC) in Taiwan.
Recently, I received the prestigious Alexander von Humboldt Research Fellowship for experienced researcher, Germany (德國洪堡基金會資深學者2024-2027).
Besides, I was also awarded the EAIP Young Scientist Award for distinguished contributions to inverse problems, by Eurasian Association on Inverse Problems, 2024.

(with H. Liu and X. Liu) Determining a nonlinear hyperbolic system with unknown sources and nonlinearity
J. Lond. Math. Soc., Vol. 109, Issue 2 (2024), 1-39.
(with A. Feizmohammadi and T. Liimatainen) An inverse problem for a semilinear elliptic equation on conformally transversally anisotropic manifolds
Ann. PDE, Vol. 9, Article number: 12 (2023), 1-54.
Monotonicity-based inversion of fractional semilinear elliptic equations with power type nonlinearities
Cal. Var. Partial Differential Equations, Vol. 61, Article number: 188 (2022), 1-30.
(with M. Lassas, T. Liimatainen and M. Salo) Inverse problems for elliptic equations with power type nonlinearities
J. Math. Pures Appl., Vol. 145 (2021), 44-82.
(with M. Cekić and A. Rüland) The Calderón problem for the fractional Schrödinger equation with drift
Cal. Var. Partial Differential Equations, Vol. 59, No. 3 (2020), 1-46.
(with B. Harrach) Monotonicity-based inversion of the fractional Schrödinger equation I. Positive potentials
SIAM J. Math Anal., Vol. 51, Issue 4 (2019), 3092-3111.
(with B. Harrach and H. Liu) On localizing and concentrating electromagnetic fields
SIAM J. Appl. Math, Vol. 78, Issue 5 (2018), 2558-2574.
(with T. Ghosh and J. Xiao) The Calderón problem for variable coefficient nonlocal elliptic operators
Comm. Partial Differential Equations, Vol. 42, No. 12 (2017), 1923-1961.

Complete list of my publications can be found here.