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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| Published in: | Журнал математической физики, анализа, геометрии |
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| Date: | 2018 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2018
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/145869 |
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| 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862616819848708096 |
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| author | Yagub, G. Ibrahimov, N.S. Zengin, M. |
| author_facet | Yagub, G. Ibrahimov, N.S. Zengin, M. |
| 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. |
| collection | DSpace DC |
| container_title | Журнал математической физики, анализа, геометрии |
| 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.
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.
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| first_indexed | 2025-12-07T13:10:08Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-145869 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1812-9471 |
| language | English |
| last_indexed | 2025-12-07T13:10:08Z |
| publishDate | 2018 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Yagub, G. Ibrahimov, N.S. Zengin, M. 2019-02-01T20:43:51Z 2019-02-01T20:43:51Z 2018 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 https://nasplib.isofts.kiev.ua/handle/123456789/145869 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. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии The Solvability of the Initial-Boundary Value Problems for a Nonlinear Schrödinger Equation with a Special Gradient Term Розв'язок початково-крайово задачi для нелiнiйного рiвняння Шредiнгера iз спецiальним градiєнтним членом Article published earlier |
| spellingShingle | 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. |
| title | The Solvability of the Initial-Boundary Value Problems for a Nonlinear Schrödinger Equation with a Special Gradient Term |
| title_alt | Розв'язок початково-крайово задачi для нелiнiйного рiвняння Шредiнгера iз спецiальним градiєнтним членом |
| 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_short | 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/145869 |
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