Geodesic
Solvability of boundary value problems for the Schrodinger equation with purely imaginary coefficient
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 11 (2011) no. 1, pp. 31-38

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The paper examines regional problems for nonlinear Schrodinger equation when factor of the equation is the square-summable function that has a square-summable derivative. In this process, theorems of existence and uniqueness of the solution of the boundary value problems under consideration have been proved. 
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     author = {N. M. Makhmudov},
     title = {Solvability of boundary value problems for the {Schrodinger} equation with purely imaginary coefficient},
     journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
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N. M. Makhmudov. Solvability of boundary value problems for the Schrodinger equation with purely imaginary coefficient. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 11 (2011) no. 1, pp. 31-38. http://geodesic.mathdoc.fr/item/ISU_2011_11_1_a4/