Speaker：Jason C. Murphy (University of Oregon)

Time：2024-8-6, 10:00

Location：Conference Room 106 at Experiment Building at Haiyun Campus

Abstract:

We discuss the problem of recovering an unknown nonlinearity from the scattering (or modified scattering) behavior of solutions in the setting of nonlinear Schrödinger equations. In particular, for a general class of (gauge-invariant) nonlinearities, we can show that the scattering behavior of solutions uniquely determines the nonlinearity, with corresponding reconstruction formulas and stability estimates in certain cases. This talk will discuss some joint work with R. Killip, M. Visan, and G. Chen.