4 papers · 1 filter
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*} Ï_k(D^2u)=f(x) \end{equation*} on the -admissible branch in a smooth uniformly convex domai…
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…
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…