Deconvolutional determination of the nonlinearity in a semilinear wave equation
arXiv:2307.00829 · doi:10.2140/paa.2025.7.1
Abstract
We demonstrate that in three space dimensions, the scattering behaviour of semilinear wave equations with quintic-type nonlinearities uniquely determines the nonlinearity. The nonlinearity is permitted to depend on both space and time.
16 pages