17 citations · 21 across the 9 of their papers we have counts for
11 papers
A rigidity result for the weighted p-Laplace equation in higher dimensions
Ching-Lung Lin, Yi-Hsuan Lin
We study rigidity for the weighted -Laplace equation on smooth bounded domains in dimensions three and higher. We show that a smooth positive weight sufficiently close to is…
Affine section tomography for inverse source problems in -Hessian equations with restricted large boundary data
Yi-Hsuan Lin
We consider an inverse source problem for the -Hessian equation \begin{equation*} σ_k(D^2u)=f(x) \end{equation*} on the -admissible branch in a smooth uniformly convex domain…
An inverse source problem for a fully nonlinear elliptic equation
Ching-Lung Lin, Yi-Hsuan Lin, Jenn-Nan Wang
We study an inverse source problem for fully nonlinear elliptic equations of the form \[ F(D^2u)=f \quad \text{in } Ω. \] The question is whether the source term can be recovered f…
Recovering stable kernels from exterior measurements
Yi-Hsuan Lin
We study an inverse problem for translation-invariant symmetric stable operators of the form \begin{equation*} L_a u(x)=\mathrm{P.V.}\int_{\mathbb R^n}(u(x)-u(y))\frac{a((x-y)/|x-y…
Entanglement principle for fractional Laplacian on hyperbolic spaces and applications to inverse problem
Yi-Hsuan Lin
We establish an entanglement principle for fractional powers of the Laplace-Beltrami operator on hyperbolic space , . More precisely, we prove that if finitely…
Finite element error analysis for elliptic parameter identification with power-type nonlinearity
De-Han Chen, Yi-Hsuan Lin, Irwin Yousept
This paper studies the numerical analysis of a parameter identification problem governed by elliptic equations with power-type nonlinearity. We propose a numerical reconstruction v…
Well-posedness and inverse problems for semilinear nonlocal wave equations
Yi-Hsuan Lin, Teemu Tyni, Philipp Zimmermann
This article is devoted to forward and inverse problems associated with time-independent semilinear nonlocal wave equations. We first establish comprehensive well-posedness results…
Unique determination of coefficients and kernel in nonlocal porous medium equations with absorption term
Yi-Hsuan Lin, Philipp Zimmermann
The main purpose of this article is the study of an inverse problem for nonlocal porous medium equations (NPMEs) with a linear absorption term. More concretely, we show that under…
Determining coefficients for a fractional -Laplace equation from exterior measurements
Manas Kar, Yi-Hsuan Lin, Philipp Zimmermann
We consider an inverse problem of determining the coefficients of a fractional -Laplace equation in the exterior domain. Assuming suitable local regularity of the coefficients…
The Calderón problem for a nonlocal diffusion equation with time-dependent coefficients
Yi-Hsuan Lin, Jesse Railo, Philipp Zimmermann
We investigate global uniqueness for an inverse problem for a nonlocal diffusion equation on domains that are bounded in one direction. The coefficients are assumed to be unknown a…
Simultaneous recovery of piecewise analytic coefficients in a semilinear elliptic equation
Bastian Harrach, Yi-Hsuan Lin
In this short note, we investigate simultaneous recovery inverse problems for semilinear elliptic equations with partial data. The main technique is based on higher order lineariza…