Existence of solution of a distributional problem for a generalized Schrödinger equation
In this article, we prove the existence and uniqueness of the solution of the homogeneous generalized Schrödinger equation of order m in the periodic distributional space P0, where m is an even number not a multiple of four. Furthermore, we prove that the solution depends continuously respect to the...
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| Format: | Article |
| Language: | Spanish |
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Universidad Nacional de Trujillo
2022-07-01
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| Series: | Selecciones Matemáticas |
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| Online Access: | https://revistas.unitru.edu.pe/index.php/SSMM/article/view/4390 |
| _version_ | 1798037132585992192 |
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| author | Yolanda Santiago Ayala |
| author_facet | Yolanda Santiago Ayala |
| author_sort | Yolanda Santiago Ayala |
| collection | DOAJ |
| description | In this article, we prove the existence and uniqueness of the solution of the homogeneous generalized Schrödinger equation of order m in the periodic distributional space P0, where m is an even number not a multiple of four. Furthermore, we prove that the solution depends continuously respect to the initial data in P0. Introducing a family of weakly continuous operators, we prove that this family is a group in P0. Then, with this family of operators, we get a fine version of the existence and dependency continuous theorem obtained.
Finally, we give the conclusions and remarks derived from this study. |
| first_indexed | 2024-04-11T21:22:25Z |
| format | Article |
| id | doaj.art-a0fe593c0da24326ab92de80f6aa7f19 |
| institution | Directory Open Access Journal |
| issn | 2411-1783 |
| language | Spanish |
| last_indexed | 2024-04-11T21:22:25Z |
| publishDate | 2022-07-01 |
| publisher | Universidad Nacional de Trujillo |
| record_format | Article |
| series | Selecciones Matemáticas |
| spelling | doaj.art-a0fe593c0da24326ab92de80f6aa7f192022-12-22T04:02:34ZspaUniversidad Nacional de TrujilloSelecciones Matemáticas2411-17832022-07-019019110110.17268/sel.mat.2022.01.07Existence of solution of a distributional problem for a generalized Schrödinger equationYolanda Santiago Ayala0https://orcid.org/0000-0003-2516-0871Facultad de Ciencias Matemáticas, Universidad Nacional Mayor de San Marcos, Av. Venezuela S/N Lima 01, Lima, Perú.In this article, we prove the existence and uniqueness of the solution of the homogeneous generalized Schrödinger equation of order m in the periodic distributional space P0, where m is an even number not a multiple of four. Furthermore, we prove that the solution depends continuously respect to the initial data in P0. Introducing a family of weakly continuous operators, we prove that this family is a group in P0. Then, with this family of operators, we get a fine version of the existence and dependency continuous theorem obtained. Finally, we give the conclusions and remarks derived from this study.https://revistas.unitru.edu.pe/index.php/SSMM/article/view/4390groups theoryexistence of solutionschr¨odinger equation of order mdistributional problemweakly continuous operators |
| spellingShingle | Yolanda Santiago Ayala Existence of solution of a distributional problem for a generalized Schrödinger equation Selecciones Matemáticas groups theory existence of solution schr¨odinger equation of order m distributional problem weakly continuous operators |
| title | Existence of solution of a distributional problem for a generalized Schrödinger equation |
| title_full | Existence of solution of a distributional problem for a generalized Schrödinger equation |
| title_fullStr | Existence of solution of a distributional problem for a generalized Schrödinger equation |
| title_full_unstemmed | Existence of solution of a distributional problem for a generalized Schrödinger equation |
| title_short | Existence of solution of a distributional problem for a generalized Schrödinger equation |
| title_sort | existence of solution of a distributional problem for a generalized schrodinger equation |
| topic | groups theory existence of solution schr¨odinger equation of order m distributional problem weakly continuous operators |
| url | https://revistas.unitru.edu.pe/index.php/SSMM/article/view/4390 |
| work_keys_str_mv | AT yolandasantiagoayala existenceofsolutionofadistributionalproblemforageneralizedschrodingerequation |