Uniqueness in the inverse scattering problem for Hartree type equation
Watanabe, Michiyuki
Proc. Japan Acad. Ser. A Math. Sci., Tome 77 (2001) no. 10, p. 143-146 / Harvested from Project Euclid
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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 $\sigma$.
Publié le : 2001-11-14
Classification:  Inverse scattering,  uniqueness theorem,  35Q55,  35R30 
@article{1148393007,
     author = {Watanabe, Michiyuki},
     title = {Uniqueness in the inverse scattering problem for Hartree type equation},
     journal = {Proc. Japan Acad. Ser. A Math. Sci.},
     volume = {77},
     number = {10},
     year = {2001},
     pages = { 143-146},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1148393007}
}

Watanabe, Michiyuki. Uniqueness in the inverse scattering problem for Hartree type equation. Proc. Japan Acad. Ser. A Math. Sci., Tome 77 (2001) no. 10, pp.  143-146. http://gdmltest.u-ga.fr/item/1148393007/