27 citations · 70 across the 21 of their papers we have counts for
4 papers · 2 filters
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…