Solvability of boundary problems for Schr\"odinger equation with real coefficient
Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 12 (2010), pp. 32-42

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In the given work boundary problems for nonlinear Schrödinger equation is considered when the coefficient near unknown function in the equation is a square-summable function. Well-posedness of a considered boundary problem is investigated.
Keywords: Schrödinger equation, boundary value problem, square-integrable coefficient.
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     title = {Solvability of boundary problems for {Schr\"odinger} equation with real coefficient},
     journal = {Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika},
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N. M. Mahmudov. Solvability of boundary problems for Schr\"odinger equation with real coefficient. Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 12 (2010), pp. 32-42. http://geodesic.mathdoc.fr/item/VCHGU_2010_12_a3/