17 citations · 21 across the 9 of their papers we have counts for
6 papers · 1 filter
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…