Abstract
In this paper we consider the inverse scattering problem for the following Hartree type equation: \[ i\frac{\partial u}{\partial t} = -\varDelta u + (|x|^{-\sigma} * |u|^2) u. \] We prove the uniqueness theorem on the inverse scattering problem with respect to the power $\sigma$.
Citation
Michiyuki Watanabe. "Uniqueness in the inverse scattering problem for Hartree type equation." Proc. Japan Acad. Ser. A Math. Sci. 77 (9) 143 - 146, Nov. 2001. https://doi.org/10.3792/pjaa.77.143
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