46 citations · 259 across the 34 of their papers we have counts for
36 papers
Tomography of reactive Boltzmann kernels from product fluxes
Yi-Hsuan Lin, Hongyu Liu
We study the reversible reaction in a dilute gas described by a Boltzmann system. We prove that the outgoing flux of one product species determines the for…
On the (Non-)Uniqueness of Random Non-Expected Utility
Yi-Hsuan Lin
In random expected utility (Gul and Pesendorfer, 2006), the distribution of preferences is uniquely identified from random choice. This paper investigates whether such identificati…
A nonlocal-to-local transfer principle for parabolic Calderón problems
Ching-Lung Lin, Yi-Hsuan Lin, Gunther Uhlmann
We prove a nonlocal-to-local transfer principle for fractional powers of variable coefficient parabolic operators. Let , where is a uniformly…
On determining and breaking the gauge class in inverse problems for reaction-diffusion equations
Yavar Kian, Tony Liimatainen, Yi-Hsuan Lin
We investigate an inverse boundary value problem of determination of a nonlinear law for reaction-diffusion processes, which are modeled by general form semilinear parabolic equati…
The Calderón problem for nonlocal parabolic operators
Ching-Lung Lin, Yi-Hsuan Lin, Gunther Uhlmann
We investigate inverse problems in the determination of leading coefficients for nonlocal parabolic operators, by knowing the corresponding Cauchy data in the exterior space-time d…
Uniqueness results and gauge breaking for inverse source problems of semilinear elliptic equations
Tony Liimatainen, Yi-Hsuan Lin
We study inverse source problems associated to semilinear elliptic equations of the form \[ Δu(x)+a(x,u)=F(x), \] on a bounded domain , . We show th…
Inverse problems for fractional equations with a minimal number of measurements
Yi-Hsuan Lin, Hongyu Liu
In this paper, we study several inverse problems associated with a fractional differential equation of the following form: \[ (-Δ)^s u(x)+\sum_{k=0}^N a^{(k)}(x) [u(x)]^k=0,\ \ 0<s…
An inverse problem for a semilinear elliptic equation on conformally transversally anisotropic manifolds
Ali Feizmohammadi, Tony Liimatainen, Yi-Hsuan Lin
Given a conformally transversally anisotropic manifold , we consider the semilinear elliptic equation We show that an a priori unk…
Simultaneous recoveries for semilinear parabolic systems
Yi-Hsuan Lin, Hongyu Liu, Xu Liu +1
In this paper, we study inverse boundary problems associated with semilinear parabolic systems in several scenarios where both the nonlinearities and the initial data can be unknow…
Determining a nonlinear hyperbolic system with unknown sources and nonlinearity
Yi-Hsuan Lin, Hongyu Liu, Xu Liu
We investigate inverse boundary problems associated with a time-dependent semilinear hyperbolic equation, where both nonlinearity and sources (including initial displacement and in…
The Calderón problem for the fractional wave equation: Uniqueness and optimal stability
Pu-Zhao Kow, Yi-Hsuan Lin, Jenn-Nan Wang
We study an inverse problem for the fractional wave equation with a potential by the measurement taking on arbitrary subsets of the exterior in the space-time domain. We are intere…
Inverse problems for elliptic equations with fractional power type nonlinearities
Tony Liimatainen, Yi-Hsuan Lin, Mikko Salo +1
We study inverse problems for semilinear elliptic equations with fractional power type nonlinearities. Our arguments are based on the higher order linearization method, which helps…
Random Non-Expected Utility: Non-Uniqueness
Yi-Hsuan Lin
In random expected utility (Gul and Pesendorfer, 2006), the distribution of preferences is uniquely recoverable from random choice. This paper shows through two examples that such…
A direct reconstruction algorithm for the anisotropic inverse conductivity problem based on Calderón's method in the plane
Rashmi Murthy, Yi-Hsuan Lin, Kwancheol Shin +1
A direct reconstruction algorithm based on Calderón's linearization method for the reconstruction of isotropic conductivities is proposed for anisotropic conductivities in two-dime…
Monotonicity-based inversion of fractional semilinear elliptic equations with power type nonlinearities
Yi-Hsuan Lin
We investigate the monotonicity method for fractional semilinear elliptic equations with power type nonlinearities. We prove that if-and-only-if monotonicity relations between coef…
Duality between range and no-response tests and its application for inverse problems
Yi-Hsuan Lin, Gen Nakamura, Roland Potthast +1
In this paper we will show the duality between the range test (RT) and no-response test (NRT) for the inverse boundary value problem for the Laplace equation in $Ω\setminus\overlin…
Inverse problems for fractional semilinear elliptic equations
Ru-Yu Lai, Yi-Hsuan Lin
This paper is concerned with the forward and inverse problems for the fractional semilinear elliptic equation for . For the forward problem, we proved t…
The Calderón problem for a space-time fractional parabolic equation
Ru-Yu Lai, Yi-Hsuan Lin, Angkana Rüland
In this article we study an inverse problem for the space-time fractional parabolic operator with in any space dimension. We uniquely determine the unk…
Partial data inverse problems and simultaneous recovery of boundary and coefficients for semilinear elliptic equations
Matti Lassas, Tony Liimatainen, Yi-Hsuan Lin +1
We study various partial data inverse boundary value problems for the semilinear elliptic equation in a domain in by using the higher order linearizati…
Reconstruction of unknown cavity by single measurement
Yi-Hsuan Lin, Gen Nakamura, Haibing Wang
In this paper we propose a domain sampling type reconstruction scheme for an inverse boundary value problem to identify an unknown cavity by single measurement on the accessible bo…
Inverse problems for elliptic equations with power type nonlinearities
Matti Lassas, Tony Liimatainen, Yi-Hsuan Lin +1
We introduce a method for solving Calderón type inverse problems for semilinear equations with power type nonlinearities. The method is based on higher order linearizations, and it…
Boundary determination of electromagnetic and Lamé parameters with corrupted data
Pedro Caro, Ru-Yu Lai, Yi-Hsuan Lin +1
We study boundary determination for an inverse problem associated to the time-harmonic Maxwell equations and another associated to the isotropic elasticity system. We identify the…
Monotonicity-based inversion of the fractional Schrödinger equation II. General potentials and stability
Bastian Harrach, Yi-Hsuan Lin
In this work, we use monotonicity-based methods for the fractional Schrödinger equation with general potentials in a Lipschitz bounded open set $Ω\subset \mathbb…
The Calderón problem for the fractional Schrödinger equation with drift
Mihajlo Cekić, Yi-Hsuan Lin, Angkana Rüland
We investigate the Calderón problem for the fractional Schrödinger equation with drift, proving that the unknown drift and potential in a bounded domain can be determined simultane…