On Some Fractional Magnetic Problems
In this article, we study existence of weak solutions and the unique continuation property of the nonlocal fractional magnetic equation. First, we use a variational technique to prove existence of weak solutions for the fractional Schrödinger equation with magnetic field. Moreover, we show the doubl...
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| Format: | Article |
| Language: | English |
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Mathyze Publishers
2023-12-01
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| Series: | Pan-American Journal of Mathematics |
| Online Access: | https://mathyze.com/index.php/pajm/article/view/145 |
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| _version_ | 1849473009541185536 |
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| author | Frédéric D. Y. Zongo Salifou Korbeogo Arouna Ouédraogo |
| author_facet | Frédéric D. Y. Zongo Salifou Korbeogo Arouna Ouédraogo |
| author_sort | Frédéric D. Y. Zongo |
| collection | DOAJ |
| description | In this article, we study existence of weak solutions and the unique continuation property of the nonlocal fractional magnetic equation. First, we use a variational technique to prove existence of weak solutions for the fractional Schrödinger equation with magnetic field. Moreover, we show the doubling property main argument to unique continuation property via Carleman estimates. |
| format | Article |
| id | doaj-art-3d47beb9cad04592bec0ba304bbcb1fa |
| institution | Kabale University |
| issn | 2832-4293 |
| language | English |
| publishDate | 2023-12-01 |
| publisher | Mathyze Publishers |
| record_format | Article |
| series | Pan-American Journal of Mathematics |
| spelling | doaj-art-3d47beb9cad04592bec0ba304bbcb1fa2025-08-20T03:24:17ZengMathyze PublishersPan-American Journal of Mathematics2832-42932023-12-012010.28919/cpr-pajm/2-1736On Some Fractional Magnetic ProblemsFrédéric D. Y. Zongo0Salifou KorbeogoArouna OuédraogoEcole Normale Supérieure du BurkinaIn this article, we study existence of weak solutions and the unique continuation property of the nonlocal fractional magnetic equation. First, we use a variational technique to prove existence of weak solutions for the fractional Schrödinger equation with magnetic field. Moreover, we show the doubling property main argument to unique continuation property via Carleman estimates.https://mathyze.com/index.php/pajm/article/view/145 |
| spellingShingle | Frédéric D. Y. Zongo Salifou Korbeogo Arouna Ouédraogo On Some Fractional Magnetic Problems Pan-American Journal of Mathematics |
| title | On Some Fractional Magnetic Problems |
| title_full | On Some Fractional Magnetic Problems |
| title_fullStr | On Some Fractional Magnetic Problems |
| title_full_unstemmed | On Some Fractional Magnetic Problems |
| title_short | On Some Fractional Magnetic Problems |
| title_sort | on some fractional magnetic problems |
| url | https://mathyze.com/index.php/pajm/article/view/145 |
| work_keys_str_mv | AT fredericdyzongo onsomefractionalmagneticproblems AT salifoukorbeogo onsomefractionalmagneticproblems AT arounaouedraogo onsomefractionalmagneticproblems |