Special Session 169: Inverse problems arising in partial differential equations and mathematical physics

Inverse problems for a nonlinear dynamical Sch\odinger operator with magnetic potential
Boya Liu
North Dakota State University
USA
Co-Author(s):    Mandeep Kumar, Manmohan Vashith
Abstract:
In this talk we discuss two inverse problems concerning a nonlinear dynamical Schr\odinger operator with magnetic potential. We show that the Dirichlet-to-Neumann map determines the nonlinear coefficients uniquely. We shall consider both the full data and the partial data setting. In particular, with the assumption that the coefficients are known near the boundary, measurements are made on arbitrarily small sets of the lateral boundary of a space-time.