19 citations · 62 across the 29 of their papers we have counts for
7 papers · 2 filters
Inverse problems for the fractional Laplace equation with lower order nonlinear perturbations
Ru-Yu Lai, Laurel Ohm
We study the inverse problem for the fractional Laplace equation with multiple nonlinear lower order terms. We show that the direct problem is well-posed and the inverse problem is…
Global determination for an inverse problem from the vortex dynamics
Ru-Yu Lai, Hanming Zhou
We consider the problem of reconstructing a background potential from the dynamical behavior of vortex dipole. We prove that under suitable conditions, one can uniquely reconstruct…
Partial Data Inverse Problems for Nonlinear Magnetic Schrödinger Equations
Ru-Yu Lai, Ting Zhou
We prove that the knowledge of the Dirichlet-to-Neumann map, measured on a part of the boundary of a bounded domain in , can uniquely determine, in a nonlinea…
Reconstruction of the emission coefficient in the nonlinear radiative transfer equation
Christian Klingenberg, Ru-Yu Lai, Qin Li
In this paper, we investigate an inverse problem for the radiative transfer equation that is coupled with a heat equation in a nonscattering medium in , . Th…
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…
Reconstruction of the collision kernel in the nonlinear Boltzmann equation
Ru-Yu Lai, Gunther Uhlmann, Yang Yang
We consider an inverse problem for the Boltzmann equation with nonlinear collision operator in dimensions . We show that the kinetic collision kernel can be uniquely deter…
On diffusive scaling in acousto-optic imaging
Francis J. Chung, Ru-Yu Lai, Qin Li
Acousto-optic imaging (AOI) is a hybrid imaging process. By perturbing the to-be-reconstructed tissues with acoustic waves, one introduces the interaction between the acoustic and…