The Solvability of the Initial-Boundary Value Problems for a Nonlinear Schrödinger Equation with a Special Gradient Term

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2018
• ISSN: 1812-9471
• Main Authors: Yagub, G., Ibrahimov, N.S., Zengin, M.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/145869
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The Solvability of the Initial-Boundary Value Problems for a Nonlinear Schrödinger Equation with a Special Gradient Term / G. Yagub, N.S. Ibrahimov, M. Zengin // Журнал математической физики, анализа, геометрии. — 2018. — Т. 14, № 2. — С. 214-232. — Бібліогр.: 19 назв. — англ.

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 u...