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 $\sigma$.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
More From: Proceedings of the Japan Academy, Series A, Mathematical Sciences
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.