9 citations · 27 across the 12 of their papers we have counts for
17 papers
Inverse transport and diffusion problems in photoacoustic imaging with nonlinear absorption
Ru-Yu Lai, Kui Ren, Ting Zhou
Motivated by applications in imaging nonlinear optical absorption by photoacoustic tomography (PAT), we study in this work inverse coefficient problems for a semilinear radiative t…
Inverse source problems in transport equations with external forces
Ru-Yu Lai, Hanming Zhou
This paper is concerned with the inverse source problem for the transport equation with external force. We show that both direct and inverse problems are uniquely solvable for gene…
An Inverse Problem for Non-linear Fractional Magnetic Schrodinger Equation
Ru-Yu Lai, Ting Zhou
In this paper, we study forward problem and inverse problem for the fractional magnetic Schrodinger equation with nonlinear electric potential. We first investigate the maximum pri…
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…