Hong-Can Ye

Logarithmic Stability for an Inverse Source Problem in a Coupled Nonlinear Helmholtz System

We study an inverse source problem for a two-mode nonlinear Helmholtz system motivated by second-harmonic generation. The datum is the full first Fr\'{e}chet derivative of the nonlinear Dirichlet-to-Neumann map at one fixed, common, small boundary state, which need not be zero. For real-valued small data, a known susce...