Y.-H. Lin's Publications

Recently, my research is mainly focused on inverse problems for linear, nonlinear, nonlocal (integral) differential equations, and their interactions. The study of inverse problems is a branch of applied mathematics that investigates indirect boundary or exterior measurements. Most of these mathematical studies are inspired by applications, such as electrial impedance tomography (EIT), computerized tomography (CT) and invisible cloaking.

My preprints or accepted manuscripts can be found below in pdf form. The final version of these articles can be changed after publication, so please read them in the indicated journals via the [Link] if necessary. You can also find my preprints in terms of chronological records via arXiv. Besides, you might be interested to see my MathScinet and Google Scholar related to my research outputs.

Preprints/Submitted Papers

(with T. Tyni and P. Zimmermann) Well-posedness and inverse problems for semilinear nonlocal wave equations
submitted (2024), arXiv:2402.05877.
Determining both leading coefficient and source in a nonlocal elliptic equation
submitted (2023), arXiv:2312.15607.
(with C.-L. Lin and G. Uhlmann) The Calderón problem for nonlocal parabolic operators: A new reduction from the nonlocal to the local
submitted (2023), arXiv:2308.09654.
(with P. Zimmermann) Unique determination of coefficients and kernel in nonlocal porous medium equations with absorption term
submitted (2023), arXiv:2305.16282.
(with M. Kar and P. Zimmermann) Determining coefficients for a fractional p-Laplace equation from exterior measurements
submitted (2022), arXiv:2212.03057.
(with J. Railo and P. Zimmermann) The Calderón problem for a nonlocal diffusion equation with time-dependent coefficients
submitted (2022), arXiv:2211.07781.
(with C.-L. Lin and G. Uhlmann) The Calderón problem for nonlocal parabolic operators
submitted (2022), arXiv:2209.11157.

Published/Accepted Papers

(with T. Liimatainen) Uniqueness results for inverse source problems of semilinear elliptic equations
Inverse Problems, Vol. 40, No. 4 (2024), 045030, 1-32. [Link]
(with Y. Kian and T. Liimatainen) On determining and breaking the gauge class in inverse problems for reaction-diffusion equations
Forum Math. Sigma, Vol. 12, e25 (2024), 1-42. [Link]
(with H. Liu and X. Liu) Determining a nonlinear hyperbolic system with unknown sources and nonlinearity
J. Lond. Math. Soc., Vol. 109, Issue 2, e12865 (2024), 1-39. [Link]
(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. [Link]
(with H. Liu) Inverse problems for fractional equations with a minimal number of measurements
Comm. Anal. Comp., Vol. 1 (2023), 72-93. [Link]
(with B. Harrach) Simultaneous recovery of piecewise analytic coefficients in a semilinear elliptic equation
Nonlinear Anal., Vol. 228 (2023), 113188, 1-14. [Link]
(with H. Liu, X. Liu and S. Zhang) Simultaneous recoveries for semilinear parabolic systems
Inverse Problems, Vol. 38, No. 11 (2022), 115006, 1-39. [Link]
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. [Link]
(with P.-Z. Kow and J.-N. Wang) The Calderón problem for the fractional wave equation: Uniqueness and optimal stability
SIAM J. Math Anal., Vol. 54, Issue 3 (2022), 3379-3419. [Link]
(with R.-Y. Lai) Inverse problems for fractional semilinear elliptic equations
Nonlinear Anal., Vol. 216 (2022), 112699, 1-21. [Link]
(with T. Liimatainen, M. Salo, and T. Tyni) Inverse problems for elliptic equations with fractional power type nonlinearities
J. Differential Equations, Vol. 306, Issue 5 (2022), 189-219. [Link]
(with P. Caro, R.-Y. Lai and T. Zhou) Boundary determination of electromagnetic and Lamé parameters with corrupted data
Inverse Probl. Imaging, Vol. 15, Issue 5 (2021), 1171-1198. [Link]
(with M. Lassas, T. Liimatainen and M. Salo) Partial data inverse problems and simultaneous recovery of boundary and coefficients for semilinear elliptic equations
Rev. Mat. Iberoam., Vol. 37, Issue 4 (2021), 1553–1580. [Link]
(with G. Nakamura, R. Potthast and H. Wang) Duality between range and no-response tests and its application for inverse problems
Inverse Probl. Imaging, Vol. 15, No. 2 (2021), 367-386. [Link]
(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. [Link]
(with R. Murthy, K. Shin and J. Mueller) A direct reconstruction algorithm for the anisotropic inverse conductivity problem based on Calderón method in the plane
Inverse Problems, Vol. 36 (2020), 125008, 1-21. [Link]
(with R.-Y. Lai and A. Rüland) The Calderón problem for a space-time fractional parabolic equation
SIAM J. Math Anal., Vol. 52, Issue 3 (2020), 2655-2688. [Link]
(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. [Link]
(with B. Harrach) Monotonicity-based inversion of the fractional Schrödinger equation II. General potentials and stability
SIAM J. Math Anal., Vol. 52, Issue 1 (2020), 402-436. [Link]
(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. [Link]
(with S. Meng) Leading and second order homogenization of an elastic scattering problem for highly oscillating anisotropic medium
J. Elasticity, Vol. 137, Issue 2 (2019), 177-217. [Link]
(with X. Cao and H. Liu) Simultaneously recovering potentials and embedded obstacles for anisotropic fractional Schrödinger operators
Inverse Probl. Imaging, Vol. 13, Issue 1 (2019), 197-210. [Link]
(with R.-Y. Lai) Global uniqueness for the fractional semilinear Schrödinger equation
Proc. Amer. Math. Soc., Vol. 147, No. 3 (2019), 1189-1199. [Link]
(with E. Blåsten) Radiating and non-radiating sources in elasticity
Inverse Problems, Vol. 35, No. 1 (2019), 1-16. [Link]
(with B. Harrach and H. Liu) On localizing and concentrating electromagnetic fields
SIAM J. Appl. Math, Vol. 78, Issue 5 (2018), 2558-2574. [Link]
Nearly cloaking for the elasticity system with residual stress
Asymptot. Anal., Vol. 106, Issue 1 (2018), 1-23. [Link]
(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. [Link]
(with G. Nakamura) Boundary determination of the Lamé moduli for the isotropic elasticity system
Inverse Problems, Vol. 33, No. 12 (2017), 1-23. [Link]
Reconstruction of penetrable obstacles in the anisotropic acoustic scatterings
Inverse Probl. Imaging, Vol. 10, Issue 3 (2016), 765-780. [Link]
Strong unique continuation for a residual stress system with Gevrey coefficients
Proc. Amer. Math. Soc. 144 (2016), 2171-2183. [Link]
(with R. Kuan and M. Sini) The enclosure method for the anisotropic Maxwell system
SIAM J. Math Anal., Vol 47 (2015), 3488-3527. [Link]