12 citations · 29 across the 12 of their papers we have counts for
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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…
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…