Determination of a source term in Schrödinger equation with a data taken at final moment of observation

We establish the Lipshitz stability estimate in inverse problem of determination of a source term or zero order term in the Schrödinger equation with time-dependent coefficients under some non-trapping assumption. Based on this result we established the Lipshitz stability of the determination of a real-valued coefficient corresponding to zero-th order term in the Schrödinger equation.