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Эта публикация цитируется в 2 научных статьях (всего в 2 статьях)
The solvability of the initial-boundary value problems for a nonlinear Schrödinger equation with a special gradient term
G. Yaguba, N. S. Ibrahimovbc, M. Zengina a Kafkas University, Paşaçayırı Campus, Kars, 36040, Turkey
b Baku State University, 23 Academic Zahid Khalilov St., Baku, AZ 1148, Azerbaijan
c Lankaran State University, 50 Hazi Aslanov St., Lankaran, AZ 4200, Azerbaijan
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.
Поступила в редакцию: 13.02.2017 Исправленный вариант: 10.01.2018
Образец цитирования:
G. Yagub, N. S. Ibrahimov, M. Zengin, “The solvability of the initial-boundary value problems for a nonlinear Schrödinger equation with a special gradient term”, Журн. матем. физ., анал., геом., 14:2 (2018), 214–232
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/jmag698 https://www.mathnet.ru/rus/jmag/v14/i2/p214
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Страница аннотации: | 132 | PDF полного текста: | 44 | Список литературы: | 24 |
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