Аннотация:
In this paper, the initial-boundary value problems for the two-dimensional nonlinear Schrödinger equation with a special gradient term with purely imaginary coefficients in the nonlinear part, when the coefficients of the equation are measurable bounded functions, are considered. The existence and uniqueness of solutions of the first and second initial-boundary value problems is proved almost everywhere.
Ключевые слова и фразы:Schrödinger equation, special gradient term, existence and uniqueness, first and second initial-boundary value problems.