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Yi-Hsuan Lin (林奕亘)
Assistant Professor & Alexander von Humboldt Research Fellow
Contact Information
Department of Applied Mathematics
National Yang Ming Chiao Tung University
1001, Ta Hsueh Road, Hsinchu 30050, Taiwan
Office:
228, Science Hall A
Tel:
+886-3-5712121 #56418
Email:
yihsuanlin3@gmail.com, yihsuanlin3@math.nctu.edu.tw
About Me
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
, by Eurasian Association on Inverse Problems, 2024.
Selected Papers
(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
.