Recovery of Schrödinger nonlinearities from the scattering map

Series
PDE Seminar
Time
Tuesday, April 1, 2025 - 3:30pm for 1 hour (actually 50 minutes)
Location
Skiles 005
Speaker
Jason Murphy – University of Oregon – jamu@uoregon.eduhttps://pages.uoregon.edu/jamu/
Organizer
Gong Chen

We will discuss time-dependent, nonlinear “inverse scattering” in the setting of nonlinear Schrödinger equations.  In particular, we will show that it is possible to recover an unknown nonlinearity from the small-data scattering behavior of solutions.  Time permitting, we will also discuss stability estimates for reconstruction, as well as recovery from modified scattering behavior.  This talk will include some joint work with R. Killip and M. Visan, as well as with G. Chen.