The Solvability of the Initial-Boundary Value Problems for a Nonlinear Schrödinger Equation with a Special Gradient Term
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...
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| Дата: | 2018 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2018
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| Назва видання: | Журнал математической физики, анализа, геометрии |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/145869 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
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irk-123456789-145869 |
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irk-123456789-1458692019-02-02T01:23:17Z The Solvability of the Initial-Boundary Value Problems for a Nonlinear Schrödinger Equation with a Special Gradient Term Yagub, G. Ibrahimov, N.S. Zengin, M. 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. У статтi розглядаються початково-крайовi задачi для двовимiрного нелiнiйного рiвняння Шредiнгера iз спецiальним градiєнтним членом з чисто уявними коефiцiєнтами в нелiнiйнiй частинi, коли коефiцiєнти рiвняння є вимiрними обмеженими функцiями. Доведено iснування i єднiсть розв язкiв першо i друго початково-крайово задачi майже скрiзь. 2018 Article 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. 1812-9471 DOI: https://doi.org/10.15407/mag14.02.214 Mathematics Subject Classification 2010: 35D, 35M, 35Q http://dspace.nbuv.gov.ua/handle/123456789/145869 en Журнал математической физики, анализа, геометрии Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
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. |
| format |
Article |
| author |
Yagub, G. Ibrahimov, N.S. Zengin, M. |
| spellingShingle |
Yagub, G. Ibrahimov, N.S. Zengin, M. The Solvability of the Initial-Boundary Value Problems for a Nonlinear Schrödinger Equation with a Special Gradient Term Журнал математической физики, анализа, геометрии |
| author_facet |
Yagub, G. Ibrahimov, N.S. Zengin, M. |
| author_sort |
Yagub, G. |
| title |
The Solvability of the Initial-Boundary Value Problems for a Nonlinear Schrödinger Equation with a Special Gradient Term |
| title_short |
The Solvability of the Initial-Boundary Value Problems for a Nonlinear Schrödinger Equation with a Special Gradient Term |
| title_full |
The Solvability of the Initial-Boundary Value Problems for a Nonlinear Schrödinger Equation with a Special Gradient Term |
| title_fullStr |
The Solvability of the Initial-Boundary Value Problems for a Nonlinear Schrödinger Equation with a Special Gradient Term |
| title_full_unstemmed |
The Solvability of the Initial-Boundary Value Problems for a Nonlinear Schrödinger Equation with a Special Gradient Term |
| title_sort |
solvability of the initial-boundary value problems for a nonlinear schrödinger equation with a special gradient term |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| publishDate |
2018 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/145869 |
| citation_txt |
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. |
| series |
Журнал математической физики, анализа, геометрии |
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